How do frequency tables, relative frequencies, and histograms showing relative frequencies help us understand sampling distributions? They show each d

A weather forecaster predicts that the temperature in Antarctica will decrease ${\displaystyle 8^{\circ }F}$ each hour for the next 6 hours. Write and solve an inequality to determine how many hours it will take for the temperature to drop at least ${\displaystyle {36}^{\circ }F}$

Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station. The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task. ${\displaystyle (1,3),(2,6),(3,12),(4,24)}$
Part A: Is this data modeling an algebraic sequence or a geometric sequence? Explain your answer.
Part B: Use a recursive formula to determine the time she will complete station 5.
Part C: Use an explicit formula to find the time she will complete the 9th station.

The article “Modeling Sediment and Water Column Interactions for Hydrophobic Pollutants” (Water Research, 1984: 1169-1174) suggests the uniform distribution on the interval (7.5, 20) as a model for depth (cm) of the bioturbation layer in sediment in a certain region. a. What are the mean and variance of depth? b. What is the cdf of depth? c. What is the probability that observed depth is at most 10? Between 10 and 15? d. What is the probability that the observed depth is within 1 standard deviation of the mean value? Within 2 standard deviations?

A parks and recreation department is constructing a new bike path. The path will be parallel to the railroad tracks shown and pass through the parking area al the point ${\displaystyle (4,5).}$ Write an equation that represents the path.

1)What factors influence the correspondence between the binomial and normal distributions? 1.Twenty percent of individuals who seek psychotherapy will recover from their symptoms irrespective of whether they receive treatment. A research finds that a particular type of psychotherapy is successful with 30 out of 100 clients. Using an alpha level of 0.05 as a criterion, what should she conclude about the effectiveness of this psychotherapeutic approach? 2.How does the size of the data set help cut down on the size of the error terms in the approximation process?

Probability of a sale person’s success in making a sale is 0.25. Salesperson made 4 attempts. Assuming that each attempt is independent and by using Binomial Distribution.
a) Construct the probability distribution
b) Find ${\displaystyle E\left(X\right)}$
c) ${\displaystyle Var\left(x\right)}$
List out various assumptions of probability distribution function and identify the areas where is it used

What is the difference between a discrete probability distribution and a continuous probability distribution?