Suppose a jar contains 13 red marbles and 31 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the probability that both are red. Round your answer to 4 decimal places.

Kimberlee Ann
2022-07-23

Suppose a jar contains 13 red marbles and 31 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the probability that both are red. Round your answer to 4 decimal places.

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We wish to estimate what percent of adult residents in a certain county are parents. Out of 600 adult residents sampled, 336 had kids. Based on this, construct a 90% confidence interval for the proportion p of adult residents who are parents in this county.

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A restaurant offers a $12 dinner special that has

4

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11

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3

choices for a dessert. How many different meals are available when you select an appetizer, an entrée, and a dessert?

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Suppose the cumulative distribution of random variable X is F(x) 0 x< 0 0.2 x 0 <= x < 5 1 5 <=x Determine the following: (a) P (X < 2.8) (b) P (X > 1.5) (c) P (X < -2) (d) P (X > 6)

asked 2022-04-02

(a) Evaluate the standard deviation s for each set of data.

(b) Pool the data to obtain an absolute standard deviation

for the method.

asked 2021-10-17

Suppose that the cumulative distribution function of the random variable x is

$F(x)=\{\begin{array}{ll}0,& x<0\\ 0.25x,& 0\le x<5\\ 1,& 5\le x\end{array}$

Determine the following:

a) $p\left(x<2.8\right)$

b) $p\left(x>1.5\right)$

c) $p(x<-z)$

d) $p\left(x>b\right)$

asked 2022-03-28

Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value

tα/2,

(b) find the critical value

zα/2,

or (c) state that neither the normal distribution nor the t distribution applies.

Here are summary statistics for randomly selected weights of newborn girls:

n=162,

x=30.1

hg,

s=6.1

hg. The confidence level is

99%.