5. Consider the 1000, 95% confidence intervals (CI) for µ that a statistical consultant will obtain for various clients. Suppose the data sets on which the intervals are based are selected...

There are separated into different parts. Could you help with the entire question, please

5. Expected number of intervals, prior to taking 1000 of samples and constructing 1000 confidence intervals based on them, to include true population parameter.

5.  Probability that between 950 and 970 (inclusive) of these 1000 intervals, based on 1000 samples, include the true population parameter, prior to take all of these 1000 samples.

These are the only two questions

Extracted text: 5. Consider the 1000, 95% confidence intervals (CI) for µ that a statistical consultant will obtain for various clients. Suppose the data sets on which the intervals are based are selected independently of one another. How many of these 1000 intervals do you expect to capture the corresponding value of u? What is the probability that between 950 and 970 of these intervals (inclusive) contain the corresponding value of µ? (Hint: Let Y= the number among the 1000 intervals that contain µ. What kind of random variable is Y? You will need continuity correction on the way, as well).