According to Mastfoods, the company that manufactures M&M's, 12% of peanut M&M's are brown, 15% are yellow. 12% are red, 23% are blue, 23% are orange and 15% are green (Round your answers 04 decimal places where possible)

a. Compute the probability that a randomly selected peanut M&M is not red.

b. Compute the probably that a randomly selected peanut M&M is orange or blue.

c. Compute the probability that three randomly selected peanut M&M's are all brown.

d. If you randomly select five peanut M&M's, compute that probability that none of them are yellow

e. If you randomly select five peanut M&M's, compute that probability that at least one of them is

yellow

Plz ( true - false) all triangles have interior angles whose measure sum to 90.

Find │–14│ a. 14 b. –14 c. start fraction 1 over 14 end fraction

(20 points) a bank has been receiving complaints from real estate agents that their customers have been waiting too long for mortgage confirmations. the bank prides itself on its mortgage application process and decides to investigate the claims. the bank manager takes a random sample of 20 customers whose mortgage applications have been processed in the last 6 months and finds the following wait times (in days): 5, 7, 22, 4, 12, 9, 9, 14, 3, 6, 5, 15, 10, 17, 12, 10, 9, 4, 10, 13 assume that the random variable x measures the number of days a customer waits for mortgage processing at this bank, and assume that x is normally distributed. 2a. find the sample mean of this data (x ě…). 2b. find the sample variance of x. find the variance of x ě…. for (c), (d), and (e), use the appropriate t-distribution 2c. find the 90% confidence interval for the population mean (îľ). 2d. test the hypothesis that îľ is equal to 7 at the 95% confidence level. (should you do a one-tailed or two-tailed test here? ) 2e. what is the approximate p-value of this hypothesis?