Suppose that a recent poll found that 41% of adults believe that the overall state of moral values is poor. complete parts (a) through (c). (a) for 100 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 41. (round to the nearest whole number as needed.) the standard deviation of x is 4.9. (round to the nearest tenth as needed.) (b) interpret the mean. choose the correct answer below. a. for every 100 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 100 adults, the mean is the number of them that would be expected to believe that the overall state of moral values is poor. your answer is correct. c. for every 100 adults, the mean is the range that would be expected to believe that the overall state of moral values is poor. d. for every 41 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) would it be unusual if 41 of the 100 adults surveyed believe that the overall state of moral values is poor? yes no

a) μ = 41, σ = 4.9; b) For every 100 adults, the mean is the number of them that would be expected to believe the overall state of moral values is poor; c) No, it would not.

Step-by-step explanation:

This is a binomial distribution.  This is because 1) there is a fixed number of trials (100); 2) there are two outcomes (either they do feel it's poor or they don't feel it's poor); 3) each trial is independent of each other; 4) the probability of success is the same for each trial.

a) Since this is a binomial distribution, the mean is given by μ = np, where n is the number of trials and p is the probability of success.  This gives us

μ = 100(0.41) = 41

The standard deviation is given by

σ = √(npq), where n is the number of trials, p is the probability of success and q is the probability of failure.  Since p = 0.41, this makes q = 1-0.41 = 0.59; this gives us

σ = √(100(0.41)(0.59)) = √(24.19) ≈ 4.9

b) The mean tells us the average number of people out of the sample that feel the state of moral values is poor.

c) A data value that is unusual is one that is more than 2 standard deviations from the mean.  In this case, the number in question is the mean; this means it is 0 standard deviations from the mean, so it is not an unusual value.

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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