Suppose you are playing a game. The random variable, Y, represents your net profit in dollars. The probability distribution of Y is as follows. (Round your answers to 4 decimal places, if needed.) y -3 -2 2 3 5 P(Y = y) 0.15 0.19 ? 0.14 0.15 (a) What is the mean for net profit? (b) What is the median for net profit? (c) What is the standard deviation for net profit?

Condom Failure Rate: According to the Department of Health and Human Services, the failure rate for male condoms is 18%. The accompanying table is based on the failure rate of 18%, where x represents the number of condoms that fail when six are tested. x P(x) 0 0.304 1 0.400 2 0.220 3 0.064 4 0.011 5 0.001 6 0+ Does the table describe a probability distribution? Why or Why not?       Assuming that the table does describe a probability distribution, find its mean?       Assuming that the table does describe a probability distribution, find its standard deviation?       If 6 condoms are tested and 5 of them fail, is 5 a significantly high number of failures? Why or Why not?       What does the symbol 0+ represent?

Complete parts (a) and (b) below. The number of dogs per household in a small town Dogs 2 3 4. Probability 0.642 0.223 0.087 0.026 0.014 0.007 (a) Find the mean, variance, and standard deviation of the probability distribution. Find the mean of the probability distribution. p=(Round to one decimal place as needed.) Find the variance of the probability distribution. o=( (Round to one decimal place as needed.) Find the standard deviation of the probability distribution. D. (Round to one decimal place as needed.) (b) Interpret the results in the context of the real-life situation. Click to select your answer(s) OTyoe here to search

Complete parts (a) and (b) below. The number of dogs per household in a small town Dogs 3 4 Probability 0.647 0.222 0.085 0.024 0.015 0.007 (a) Find the mean, variance, and standard deviation of the probability distribution. Find the mean of the probability distribution. u= 0.6 (Round to one decimal place as needed.) Find the variance of the probability distribution. o = 0.9 (Round to one decimal place as needed.) Find the standard deviation of the probability distribution. o = 0.9 (Round to one decimal place as needed.) (b) Interpret the results in the context of the real-life situation. O A. A household on average has 0.6 dog with a standard deviation of 0.9 dog. O B. A household on average has 0.9 dog with a standard deviation of 0.9 dog. O C. A household on average has 0.9 dog with a standard deviation of 0.6 dog. O D. A household on average has 0.6 dog with a standard deviation of 14 dogs.

Complete parts (a) and (b) below. The number of dogs per household in a small town Dogs 1 2 3 4 Probability 0.677 0.200 0.081 0.021 0.014 0.007 (a) Find the mean, variance, and standard deviation of the probability distribution. Find the mean of the probability distribution. u= .5 (Round to one decimal place as needed.) Find the variance of the probability distribution. (Round to one decimal place as needed.)

The probability distribution of number of televisions per household in a small town x 0 1 2 3   ​P(x) 0.03 0.15 0.33 0.49   Find the probability of randomly selecting a household that has one or two televisions.

A math professor wants to know what percent of mathematics majors will spend the next several years doing post-graduate research. He has the following probability distribution.x    P(x)0     0.301     0.152       ?3      0.15(a) Determine the value that is missing in the table. (Hint: what are the requirements for a probability distribution?)(b) Find the mean.(c) Find the standard deviation.

Complete parts (a) and (b) below. The number of dogs per household in a small town Dogs Probability 1 2 4 0.622 0.236 0.094 0.026 0.014 0.008 (a) Find the mean, variance, and standard deviation of the probability distribution. Find the mean of the probability distribution. -(Round to one decimal place as needed.) Find the variance of the probability distribution. =(Round to one decimal place as needed.) Find the standard deviation of the probability distribution. (Round to one decimal place as needed.) Click to select your answer(s).