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Q1) Let 3 trails (they may not be independent), each of which is either success or not. Let X denotes number of successes. Assume E[X] = 1.8
a) Determine the largest possible value of P(X=3)?
b) Determine the smallest possible value of P(X=3)?
Q2) Airline knows that 5% of people making reservations on certain flight will not show up. Therefore, their policy is to sell 52 tickets for flight which can only hold 50 passengers. Determine the probability that there will be a seat available for every passenger who shows up?
Q3) A gambler has a fair coin and a two-headed coin in his pocket. He chooses one of the coins at a random, and when he flips it, it shows heads.
a) Determine the probability that it is a fair coin?
b) Assume that he flips same coin a second time and again it shows heads. Now determine the probability that it is a fair coin?
What sample size should be chosen so that there is 0.95 probability of estimating the mean monthly income in $150 or less?
Which of the following(s) can be considered (a) variable(s)?
Prepare a power curve for this decision rule
Using part(a), explain to investor differences between distribution of performance figures for the 2 kinds of stock funds.
Do these data suggest a statistically significance difference between the proportions of drug-resistant cases in the two states? Use a 0.02 level of significance and computed value of 2.37.
There were 25 subjects included in each of the combinations of gender and smoking status. One of the variables measured was the heart rate after six minutes of exercise. A two-way ANOVA is performed with the resulting ANOVA table given below
Rhode Island Red Chickens the incubation time for Rhode Island Red chicks is normally distributed to find out the number of chicks we expect that will hatch.
Suppose that the results of the sample lead to rejection of the null hypothesis. Classify that conclusion as a:
At the .05 significance level, is there a difference in the proportion of viewers watching the three channels?
Determine percentage of employees has 5 dependents? Of all employees which have at least one dependent, determine percentage has more than one?
Assuming the sample size of 40 can be considered as large, compute the confidence interval for a confidence level of 90%.
To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the 3 treatments.
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