Question

Suppose that a recent poll found that 60​% of adults believe that the overall state of moral values is poor. Complete parts​ (a) through​ (c).

(a) For 400randomly selected​ adults, compute the mean and standard deviation of the random variable​ X, the number of adults who believe that the overall state of moral values is poor.

The mean of X is ___​ (Round to the nearest whole number as​ needed.)

The standard deviation of X is _____ ​(Round to the nearest tenth as​ needed.)

(b) Interpret the mean. Choose the correct answer below.

A.

For every 400 ​adults, the mean is the minimum number of them that would be expected to believe that the overall state of moral values is poor.

B.

For every 240 ​adults, the mean is the maximum number of them that would be expected to believe that the overall state of moral values is poor.

C.

For every 400 ​adults, the mean is the number of them that would be expected to believe that the overall state of moral values is poor.

D.

For every 400 ​adults, the mean is the range that would be expected to believe that the overall state of moral values is poor.

(c) Would it be unusual if 253 of the 400 adults surveyed believe that the overall state of moral values is​ poor?
Yes
No.

About 14​% of the population of a large country is hopelessly romantichopelessly romantic.

If two people are randomly​ selected, what is the probability both are

A) hopelessly romantichopelessly romantic​?

B) What is the probability at least one is hopelessly romantichopelessly romantic​?

Determine whether the random variable is discrete or continuous. In each​ case, state the possible values of the random variable.

​(a) The number of

free dash throw attempts before the first shot is madefree-throw attempts before the first shot is made.

​(b) The

time it takes to fly from City Upper A to City Upper Btime it takes to fly from City A to City B.

please answear all parts

Answer 1

Solution:

Suppose that a recent poll found that 60​% of adults believe that the overall state of moral values is poor. Complete parts​ (a) through​ (c).

(a) For 400 randomly selected​ adults, compute the mean and standard deviation of the random variable​ X, the number of adults who believe that the overall state of moral values is poor.

The mean of X is

The standard deviation of X is

(b) Interpret the mean. Choose the correct answer below.

C. For every 400 ​adults, the mean is the number of them that would be expected to believe that the overall state of moral values is poor.

(c) Would it be unusual if 253 of the 400 adults surveyed believe that the overall state of moral values is​ poor?
Answer: No. Because the probability of seeing 253 or more is greater than 0.05

About 14​% of the population of a large country is hopelessly romantic.

If two people are randomly​ selected, what is the probability both are

A) hopelessly romantic hopelessly romantic​?

Answer:

B) What is the probability at least one is hopelessly romantic​?

Answer:

  

  

  

Determine whether the random variable is discrete or continuous. In each​ case, state the possible values of the random variable.

​(a) The number of free dash throw attempts before the first shot is made free-throw attempts before the first shot is made.

Answer: The given random variable is discrete random variable. The possible values are 1,2,3

​(b) The time it takes to fly from City Upper A to City Upper Bedtime it takes to fly from City A to City B.

Answer: The given variable is a continuous variable. The possible values are 1.1,2.5,3.6