Is it correct to say that the probability that μ is in the specified interval is 99%? explain?

For a 99% confidence interval for μ based on a simple random sample.

Part (a):

Is it correct to say that the probability that μ is in the specified interval is 99%? Explain.

No. The probability that μ falls inside the interval is 0 or 1.

Rather we say that we are 99% confident that μ will fall inside the interval.

Part B:

Is it correct to say that in the long run, if you computed many, many confidence intervals using the prescribed method, about 99% of such intervals would contain μ?

Yes. 99% of intervals constructed using this method will capture the population mean μ.