Please do not give solution in image format thanku Use normal approximation to estimate the probability of passing a true/false test of 60 questions if the minimum passing grade is 80% and all responses are random guesses.

Please do not give solution in image format thanku Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 129000 dollars. Assume the standard deviation is 30000 dollars. Suppose you take a simple random sample of 53 graduates.   Find the probability that a single randomly selected policy has a mean value between 141362.5 and 143834.9 dollars. P(141362.5 < X < 143834.9) = (Enter your answers as numbers accurate to 4 decimal places.)   Find the probability that a random sample of size n = 53 has a mean value between 141362.5 and 143834.9 dollars. P(141362.5 < M < 143834.9) = (Enter your answers as numbers accurate to 4 decimal places.)

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please give some detailed solution and please do not copy other's work,thanks!! According to a union agreement, the mean income for all senior-level assembly-line workers in a large company is $500 per week. A representative of a women's group decides to analyse whether the mean income for female employees matches this norm. For a random sample of 50 female employees, the mean is $410 and the SD is $90. Test with a-0.05, whether the mean income of female employees differs from $500 per week. What is the probability of the Type II error in this case?