Find the area of the shaded region. The graph depicts the standard normal distri

Question

Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. Find P60, the score which separates the lower 60% from the top 40 % For women aged 18-24. systolic blood pressure (in mm Hg) are normally distributed with a mean of 114.8 and a standard deviation of 13.1. If 23 women aged 18 - 24. are randomly selected find the probability that their mean systolic blood pressure is between 119 and 122. Lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. Find the probability of a pregnancy lasting more than 250 days. Find the probability of a pregnancy lasting more than 280 days. Find the value of za/2 that corresponds to a confidence level of 89.48%. Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. n = 195. x = 162:95% confidence A survey of 300 union members in New York State reveals that 112 favor the Republican candidate for governor. Construct the 98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate.

Explanation / Answer

Answer to first question per chegg guidelines

We need to find P(z>-1.82) . Since mean is 0 and standard deviation is 1, this can be found using the normal distribution table. We can write this as P(z<1.82) because it is 1-(1-P(z<1.82))

for P(z<1.82) , the area under the curve is 0.9656 . Hence option B

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