For a group of four 40-year old men, the probability
distribution for the number xxwho live through the next year
is as given in the table
below.xxP(x)P(x)00.0+10.0+20.001130.053740.9452Verify that the
table is indeed a probability distribution. Then find the mean of
the distribution.
mean =
Report answer accurate to 1 decimal
place.
For a group of four 40-year old men, the probability distribution for the number xxwho live through...
For a group of four men, the probability for the number, x, who live through the next year is given by x P(x) 0 0.045 1 0.015 2 0.1 3 0.55 4 0.29 (a) Find the mean and standard deviation of the number of men in a group of four who will live through the next year. (b) Find the probability that at least 2 men in a group of four will survive the next year. (c) Is 1 a...
Life Insurance: A life insurance company wants to estimate the probability that a 40-year-old male will live through the next year. In a sample of 8000 such men from prior years, 7995 lived through the year. Use the relative frequency approximation to estimate the probability that a randomly selected 40-year-old male will live through the next year. Round your answer to 4 decimal places. P(he lives through the year) =
Life Insurance: A life insurance company wants to estimate the probability that a 40-year-old male will live through the next year. In a sample of 9000 such men from prior years, 8994 lived through the year. Use the relative frequency approximation to estimate the probability that a randomly selected 40-year-old male will live through the next year. Round your answer to 4 decimal places. P(he lives through the year) =
A recent study focused on the number of times men and women who live alone buy take-out dinner in a month. Assume that the distributions follow the normal probability distribution. The information is summarized below. Statistic Men Women Sample mean 25.57 22.33 Population standard deviation 5.58 4.95 Sample size 36 40 At the .01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month? Hint: Consider the "Men" data...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 69 inches and standard deviation 4 inches. (a) What is the probability that an 18-year-old man selected at random is between 68 and 70 inches tall? (Round your answer to four decimal places.) (b) If a random sample of nineteen 18-year-old men is selected, what is the probability that the mean height x is between 68 and 70 inches? (Round your answer to four decimal places.) (c) Compare...
f size of n 4,900 from a binomial probability distribution with P 0.50, complete parts (a) through (e) below. Given a random sample EClick the icon to view the standard normal table of the cumulative distribution function. a. Find the probability that the number of successes is greater than 2,490. (Round to four decimal places as needed.) P(X 2,490) b. Find the probability that the number of successes is fewer than 2,425 P(X<2,425) (Round to four decimal places as needed....
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 72 inches and standard deviation 3 inches. (a) What is the probability that an 18-year-old man selected at random is between 71 and 73 inches tall? (Round your answer to four decimal places.) (b) If a random sample of twenty-three 18-year-old men is selected, what is the probability that the mean height x is between 71 and 73 inches? (Round your answer to four decimal places.) (c) Compare...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 67 inches and standard deviation 4 inches. (a) What is the probability that an 18-year-old man selected at random is between 66 and 68 inches tall? (Round your answer to four decimal places.) 0.2611 (b) If a random sample of twenty-seven 18-year-old men is selected, what is the probability that the mean height x is between 66 and 68 inches? (Round your answer to four decimal places.) (c)...
Four-year-olds in China average 3.5 unsupervised hours per day. Most of the unsupervised children live in rural areas, considered safe. Suppose that the amount of unsupervised time is normally distributed with standard deviation 1 . A Chinese 4-year-old is randomly selected from a rural area. We are interested in the amount of time the child spends alone per day. In each appropriate box you are to enter either a rational number in "p/q" format or a decimal value accurate to...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 67 inches and standard deviation 3 inches. (a) What is the probability that an 18-year-old man selected at random is between 66 and 68 inches tall? (Round your answer to four decimal places.) (b) If a random sample of twenty-five 18-year-old men is selected, what is the probability that the mean height x is between 66 and 68 inches? (Round your answer to four decimal places.) (c) Compare...