Question

In: Statistics and Probability

Assume that 37% of Canadians feel they will have to cut back on spending, and that...

Assume that 37% of Canadians feel they will have to cut back on spending, and that a random sample of 100 Canadians is selected.

What is the probability that more than 70 Canadians in the sample felt they will NOT have to cut back on spending?

Solutions

Expert Solution

In this case out of all the 100 Canadian, 37% feel that they will have to cut back on spending sowe have

Let E be the event that denotes the Canadian who feel that they have to cut back on their spending.Then

Let denote the Canadian who feel that they will not have to cut back on spending. Then

For 100 samples, let p be the probability of the Canadian who fell that they will not have to cut back on spending. Then p is probability of success and q=1-p is the probability of failure. In this case make use of binomial distribution with n=100 trial and p=0.63 as the probability of success.

Let X denotes the random variable which represents the number of Canadian who feel that they will not have to cut on spending. In this case we have to obtain the probability of X>70 given by P(X>70).

Therefore on solving above we can obtain the desired probability.

orchestra answered 1 year ago
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