In the general hospital of Ottawa, a patient recovers from a surgery with the probability 0.50. What is the probability that at most 5 of the next 6 patients survive after surgery? ONone of them 0.882 0.738 0.982 O0.469Let X ~ Bin(50, 0.4) be a binomial random 1rariahle and 1' ~ 68003.4) be a geometric random variable. Assume that X and Y are independent. What is Var(X + 21') ? O 36.6 0 69.6 0 None of them Q 3.?5 O 1?.4 0 53.4 Let X be the cholesterol level for teenagers with age between 13 and 16. Suppose that X has a normal distribution with mean 160 mgfdl and standard deviation 32 mgfdl. We select a random sample of 16 teenagers with age between 13 and 16. What is the probabilitv that the average cholesterol level for this sample is between 156 mgl'dl and 164 mgfdl? 0 None of them 0 0.5859 0 0.5328 0 0.4649 0 0.624? O o.3aso The length of time in minutes between consecutive calls to 911 in a small city has densv %e' , 0 530 at the significance level a = 0.02 . What is the decision and the value of the test statistic ($t_{0]$), based on given observations. O Reject Ho ; to = 1.961 O Reject Ho ; to = 2.489 O Reject Ho ; to = 1.432 O Fail to reject Ho ; to = 1.432