A marketing firm is considering making up to three new hires. Given its specific needs, the management feels that there is a 55% chance of hiring at least two candidates. There is only a 8% chance that it will not make any hires and a 10% chance that it will make all three hires. a. What is the probability that the firm will make at least one hire? (Round your answer to 2 decimal places.)   b. Find the expected value and the standard deviation of the number of hires.

Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a​ girl, but assume that the method has no​ effect, so the probability of a girl is 0.5. Assume that the groups consist of 45 couples. Complete parts​ (a) through​ (c) below. a. Find the mean and the standard deviation for the numbers of girls in groups of 45 births.   The value of the mean is μ=nothing. ​(Type an integer or a decimal. Do not​ round.) The value of the standard deviation is σ=nothing. ​(Round to one decimal place as​ needed.) b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high.   Values of nothing girls or fewer are significantly low. ​(Round to one decimal place as​ needed.) Values of nothing girls or greater are significantly high. ​(Round to one decimal place as​ needed.) c. Is the result of 31 girls…

Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?

Suppose Michigan is favored by 17.5 points over Indiana. If you bet a “unit” on Indiana and Indiana loses by 17 or less, you win $10. If Indiana loses by 18 or more points, you lose $11. Note: Both Michigan and Indiana are NCAA Basketball teams. 1)Find the mean and standard deviation of your winnings on a single bet. Assume that there is a 0.5 probability that you will win your bet and a 0.5 probability that you will lose your bet.