[:Espar'lolti Cl) 2 3 4 5 5 7 8 9 10 A truefalse quiz With 10 questions was given to a statistics class. Following is the probability distribution for the score of a randomly:r chosen student. Find the mean score and interpret the result. Round the answers to two decimal places as needed. x'S 6 7 8 910 P(x)'0.06 0.15 0.34 0.26 0.1 0.09 IfSenddatatnExoel') If we were to give this quiz to more and more students, the mean score for these students would approach D. (a) Find the mean. Round the answer to three decimal places, if necessary. The mean is E] . (b) Find the standard deviation. Round the answer to three decimal places, if necessary. The standard deviation is D. \fFifteen items or less: The number of customers in line at a supermarket express checkout counter is a random variable with the following probability distribution. 1'0 12345 Pfx) I 0.05 0.25 0.35 0.20 0.10 0.05 Question 3 of 10 (1 point) I Question Attempt: 1af1 (b) nd P(No more than 1). Espnnl D :i (c) Find the probability that no one is in line. The probability that no one is in line is D. E] (cl) nd the probability that at most two people are in line. The probability that at most two people are in line is D . Submit Mnmenl '_I _-...r.___ _.._ ...__.. '1. ..__.._ _.._ _.._..._. _- _.._ ___. [:J (f) Compute the standard deviation or. Round the answer to three decimal places. (g) If each customer takes 2 minutes to check out, what is the probability that it will take more than 6 minutes for all the customers currently in line to check out? The probability that it will take more than 6 minutes for all the customers currently in line to check out is E . : Question 4 of 10 [1 point) I Question Attempt: 1 of1 cos-savaew Do you carpool? LetX represent the number of occupants in a randomly chosen car on a certain stretch of highway' during morning commute hours. A survey of cars showed that the probability distribution ofX is as follows. I ' 1 2 3 4 5 P(x) | 0.70 0.16 0.10 0.01 0.03 (a) Find P(4). PM o uestlon (b) nd '(less than ). P(less than 5) = D (c) Find the probability that a car has only one occupant. The probability that a car has only one occupant is D . (d) nd the probability that a car has fewer than four occupants. The probability that a car has fewer than four occupants is D . (e) Compute the mean p1. Round the answer to two decimal places. The mean p3: is D. (f) Compute the standard deviation Ur Round the standard deviation to three decimal places. The standard deviation ox is E] . (9} To save energy, a goal is set to have the mean number of occupants be at least two per car. Has this goal been met? Since the computed mean number of occupants per car is only C], then this goal to have the mean number of occupants to be at least two per car (Choose one) Y been met