Find the following probabilities  a.) P(Z ≤ -1.25) b.) P(Z > 1.45)

please send step by step handwritten solution for Q 2.15 e f g

1. Left-tail probability Refer to #15 in Ch 13 multiple choice. The interpretation of P (X < 22.62) is as follows: First, let's assume that before collecting data, we, as researchers, have decided that a probability smaller than 5% is “a small probability". Recall that an event with a small probability means "the event is unlikely to happen". (Other probability numbers that are typically considered "small" include 1%, 3%, etc.) Assume that the population mean is 23.4 cm (that's our assumption). If we imagine that we repeat taking all possible samples of size 25 from the population, then only about out of sample means will have values as small as cm or even smaller. In other words, if the population mean is indeed 23.4 cm, the chances that such extremely small sample means would occur by pure chance alone are small (since the probability calculated from #15 is smaller than our threshold of 5%). To put it another way, if the population mean is indeed 23.4 cm, then we would NOT expect a…

Determine the following probabilities. a. For n=6 and π=0.19​, what is ​P(X=0​)? b. For n=11 and π=0.50​, what is ​P(X=10​)? c. For n=11 and π=0.60​, what is ​P(X=9​)? d. For n=4 and π=0.87​, what is ​P(X=3​)? pie=(p) probability