Calculate probability under either binomial or normal distribution

All problems are to be computed by hand with work shown; type your work up in word.

Question 1: The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with a mean of 266 days and standard deviation of 16 days.
•What percent of pregnancies last less than 240 days?
•What percent of pregnancies last between 240 days and 270 days?
•How long do the longest 20% of pregnancies last?

Question 2: A federal report find that a lie detector test given to truthful persons have a probability of 0.2 of suggesting that the person is deceptive. A company asks 12 job applicants to take a lie detect test. Suppose that all 12 applicants answer truthfully.
•What is the probability that exactly one is being deceptive.
•What is the probability that at most one is being deceptive.
•What is the mean and standard deviation of this distribution.

Solution Summary

The solution gives detailed steps on calculating probability under either binomial or normal distribution.

... between 56 and 64 weeks to complete the project, then 56</= X </=64, and so the probability to calculate is this one ... The probability to be calculated is this ...

... of the z-distribution when calculating this probability. ... in body was calculated by subtracting the corresponding ... function will allow us to calculate our answer ...

... 9) How to calculate population percentages based on standard deviation ... it can use probability to calculate how far ... increases or decreases, the probability of a ...

... 721.69 = -0.693 Step - 5 (Calculate the p ... one example of non-probability sampling. ... and Normal distributions: Binomial distribution Normal distribution It is a ...

... follows the normal function, the probability function is. ... the mean, we could calculate the acceptation ... explanations of calculation of probabilities under nomral ...

... She then calculates the mean height of the ... in standard normal distribution table and calculate z score ... score sitting distance at 5th percentile is calculated. ...

... We then find the desired probability with a Z table, a calculator, or with Excel by using the NORM.DIST function. ... We calculate the probability that X = 2 ...

... 3. Calculate the probability of the following binomial... 5. Calculate the expected value and the variance of ... variable X having the following probabilities X 20 ...