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I am lost with these questions


Recent research suggests that car ownership may have peaked. The

following probability distribution table shows the random variable, x, where x is number of cars owned by household: 

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(b) Describe the results of the survey in everyday language.

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X
P(x)
0
0.10
1
0.27
2
0.40
3
0.18
4
0.05
(a) Determine the mean of x (Round the answer to two decimal places). Show all work. Answers
without supporting work will not receive credit.
(b) Determine the standard deviation of x. (Round the answer to two decimal places) Show all work.
Answers without supporting work will not receive credit.
12. Paula plans on growing tomatoes in her garden. She has 15 cherry tomato seeds. Based on her
experience, the probability of a seed turning into a seedling is 0.30.
(a) Let X be the number of seedlings that Paula gets. As we know, the distribution of X is a binomial
probability distribution. What is the number of trials (n), probability of successes (p) and probability of
failures (q), respectively?
(b) Find the probability that she gets at least 5 cherry tomato seedlings. (Round the answer to 3 decimal
places) Show all work Just the answer, without supporting work, will receive no credit.

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Refer to the following information for Questions 13 and 14.
The heights of pecan trees are normally distributed with a mean of 10 feet and a standard
deviation of 2 feet.
13. Show all work. Just the answer, without supporting work, will receive no credit.
(a) What is the probability that a randomly selected pecan tree is between 9 and 12 feet
tall? (Round the answer to 4 decimal places)
(b) Find the 75th percentile of the pecan tree height distribution. (Round the answer to 2
decimal places)
14. Show all work. Just the answer, without supporting work, will receive no credit.
(a) For a sample of 64 pecan trees, state the standard deviation of the sample mean (the
"standard error of the mean"). (Round your answer to three decimal places)
(b) Suppose a sample of 64 pecan trees is taken. Find the probability that the sample
mean heights is between 9.5 and 10 feet. (Round your answer to four decimal places)
15. A survey showed that 750 of the 1000 adult respondents believe in global warming.
(a) Construct a 95% confidence interval estimate of the proportion of adults believing in global warming.
(Round the lower bound and upper bound of the confidence interval to three decimal places) Include
description of how confidence interval was constructed

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