Сollege level probability practice problems, solved and explained

Recent questions in Upper level probability

Yulia 2021-08-11 Answered

An analysis of variance of the yields of five different varieties of wheat, observed on one plot each at each of six different locations. The data from this randomized block design are listed here:
Varieties, Location 1, Location 2, Location 3, Location 4, Location 5, Location 6
A, 35.3, 31.0, 32.7, 36.8, 37.2, 33.1
B, 30.7, 32.2, 31.4, 31.7, 35.0, 32.7
C, 38.2, 33.4, 33.6, 37.1, 37.3, 38.2
D, 34.9, 36.1, 35.2, 38.3, 40.2, 36.0
E, 32.4, 28.9, 29.2, 30.7, 33.9, 32.1
a. Use the appropriate nonparametric test to determine whether the data provide sufficient evidence to indicate a difference in the yields for the five different varieties of wheat. Test using αα=.05.
b. How do the analysis of variance F test compare with the test in part a? Explain.

UkusakazaL 2021-08-10 Answered

6% of male are color-blind. Suggest a male groub is randomly selected and tested, find the probability that the first color-blind will be found among the first 5 men tested.

UkusakazaL 2021-08-04

The doctor says there is a 75% probability that you have a kidney disorder or are diabetic. What is the probability that you both have a kidney and are diabetic if there is 40% chance kidney disorder and a 50% chance diabetic.

avissidep 2021-07-02 Answered

A balanced experimental design has a sample size of \(n=11\) observations at each of \(k=3\) factor levels. The sample averages are \(\overline{x}_{1⋅}=48.05,\overline{x}_{2⋅}=44.74, and\ \overline{x}_{3⋅}=49.11, and\ MSE=4.96\).
(a) Calculate pairwise confidence intervals for the factor level means with an overall confidence level of 95%.
(b) Make a diagram showing which factor level means are known to be different and which ones are indistinguishable.
(c) What additional sampling would you recommend to reduce the lengths of the pairwise confidence intervals to no more than 2.0 ?

Clifland 2021-06-22 Answered

A study of about n=1000 individuals in the United States during September 21-22, 2001, revealed that 43% of the respondents indicated that they were less willing to fly following the events of September 11, 2001. a. Is this an observational study or a designed experiment? b. What problems might or could have occurred because of the sensitive nature of the subject? What kinds of biases might have occurred?

Anish Buchanan 2021-06-21 Answered

The analysis of variance table for a \(3 \times 4\) factorial experiment, with factor A at three levels and factor B at four levels, and with two observations per treatment is shown here:
Source, df, SS, MS, F
A, 2, 5.3
B, 3, 9.1
AB, 6,
Error, 12, 24.5
Total, 23, 43.7
a. Fill in the missing items in the table.
b. Do the data provide sufficient evidence to indicate that factors A and B interact? Test using \(\alpha \alpha=.05\). What are the practical implications of your answer?
c. Do the data provide sufficient evidence to indicate that factors A and B affect the response variable x? Explain.

Haven 2021-06-01 Answered

Toss a fair die four times. What is the probability that all tosses produce different outcomes?

vestirme4 2021-06-01 Answered

To evaluate
\(\int \tan^3 (\pi x)dx\)

Alyce Wilkinson 2021-05-30 Answered

There are three women and four men in a group of seven people. If three people are selected from the total of seven, find the following: i)What are the total possible outcomes for this selection? ii)How many ways can two women and one man be selected? iii)What is the probability of selecting two women and one man?

ddaeeric 2021-05-29 Answered

Derive \(100(1-\alpha)\) percent lower and upper confidence intervals for p, when the data consist of the values of n independent Bernoulli random variables with parameter p.

Ayaana Buck 2021-05-26 Answered

The paired comparisons option in MINITAB generated the output provided here. What do these results tell you about the differences in the population means? Does this confirm your conclusion of the analysis-of-variance? MINITAB output Tukey's 95% Simultaneous Confidence Intervals All Pairwise Comparisons among Levels of Method Individual confidence level=97.94% Method = 1 subtracted from: Method 2: Lower -0.0001777, Center -0.0008400, Upper -0.0002423 Method 3: Lower -0.0001777, Center 0.0004200, Upper 0.0010177 Method = 2 subtracted from: Method 3: Lower 0.0006623, Center 0.0012600, Upper 0.0018577

Armorikam 2021-05-21 Answered

An analysis of variance can be used to compare:
A. Two treatments with categorical data
B. Three treatments with continuous data
C. Three treatments with categorical data
D. None of the above

naivlingr 2021-05-21 Answered

If the p-value in the ANOVA table for a one-way analysis is larger than 10%, then: A. The typical follow-up confidence intervals (with confidence level 95%) for the pairwise comparisons will all contain zero. B. Some of the typical follow-up confidence intervals (with confidence level 95%) for the pairwise comparisons may not contain zero. C. None of the typical follow-up confidence intervals (with confidence level 95%) for the pairwise comparisons can contain zero. D. None of the above.

Chardonnay Felix 2021-05-21 Answered

an urn contains 1 white, 1 green, and 2 red balls. draw 3 balls with replacement. find probability we did not see all the colours

UkusakazaL 2021-05-19 Answered

An analysis of reading test scores of students at a rural Texas school district was carried out in Current Issues in Education (Jan. 2014). Students were classified as attending elementary, middle, or high school and whether they passed a reading comprehension test. Toe data for the sample of 1,012 students are summarized in the accompanying table. Does the passing rate on the reading comprehension test in Texas differ for elementary, middle, and high school students? Use \(\alpha=10\).
\(\begin{array}{|l|c|c|c|} \hline& \text {Elementary School} & \text {Middle School} & \text {High School} \\ \hline \text {Number Passing} &372 &418 & 143 \\ \hline \text {Number Failing} &44 &25 & 10 \\ \hline \text {Totals } &416 & 443 & 153\\ \hline \end{array} \)

vazelinahS 2021-05-19

The probability of a baby being born a boy is 0.512. Consider the problem of finding the probability of exactly 7 boys in 11 births. Solve that problem using normal approximation to the binomial.

Sinead Mcgee 2021-05-16 Answered

There are 2 Son Ss OF Orange juice, 3 bottles of guava juice and 2 bottles of apple yuice in a bow. If 2 bottles of juice are chosen at random from the box, find the probability of choosing, 2 borties of juice of different Bavours.

naivlingr 2021-05-14 Answered

The probability that event A occurs is 0,3, the probability that event B does not occur is 0,4. What is the probability that events A and B occur simultaneously if \(\displaystyle{P}{\left({A}∪{B}\right)}={0},{7}\)?

Trent Carpenter 2021-05-13 Answered

Let A represent having soup and let B represent having salad for lunch.
Which statement is true?
Having soup and salad for lunch are independent events because \(\displaystyle{P}{\left({A}∣{B}\right)}={P}{\left({A}\right)}{\quad\text{and}\quad}{P}{\left({B}∣{A}\right)}={P}{\left({B}\right)}\).
Having soup and salad for lunch are not independent because \(\displaystyle{P}{\left({A}∣{B}\right)}={P}{\left({A}\right)}{\quad\text{and}\quad}{P}{\left({B}∣{A}\right)}={P}{\left({B}\right)}\).
Having soup and salad are not independent events because \(\displaystyle{P}{\left({A}∣{B}\right)}≠{P}{\left({A}\right)}{\quad\text{and}\quad}{P}{\left({B}∣{A}\right)}≠{P}{\left({B}\right)}\).
Having soup and salad for lunch are independent events because \(\displaystyle{P}{\left({A}∣{B}\right)}≠{P}{\left({A}\right)}{\quad\text{and}\quad}{P}{\left({B}∣{A}\right)}≠{P}{\left({B}\right)}\)

snowlovelydayM 2021-05-07 Answered

When a British travelling company reduces fares of a particular trip from London to Nottingham. A small taxi can carry four passengers. The time between calls for tickets is exponentially distributed with a mean of 30 minutes. Assume that each call orders one ticket. What is the probability that the taxi is filled in less than 3 hours from the time of the fare reduction?

The majority of college-level probability practice problems will include questions related to statistics with the answers and explanations that will explain how a certain riddle has been addressed. Just think about flipping a coin or throwing dice as an example or finding a red marble in the bag with the green marbles. It is all about probability where the college probability will have more complex questions with the necessity of different equations and situations where formulas must be used to determine the possibility of a certain outcome or prognosis. We offer help by letting you see various probability examples.

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