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1 153137 Tue 12:33 PM Cyr dit View History Bookmarks People Window Help Secure : https://www.mathxl.com/Student/PlayerHomework.aspx Id-430705774&questionId-4;&flushedefalse;&cid;=4499925¢en; STA3111Summer2017Wu Save Homework: HW4: 5.1,5.3,6.1,6.3 Score: 2 of 2 pts 70f 14(14 complete) Hw Score: 100%, 20 of 20 pts 5.3.39 Question Help : * of a group of 50 women are approximately normally distributed with a mean of 51 years o women are approximately normally distributed with a mean of 51 years and a standard deviation of 5 years. One woman is randomly The ages selected from the group, and her age is observed. a. Find the probability that her age will fall between 54 and 59 years. b. Find the probability that her age wil fall between 48 and 53 years c. Find the probability that her age will be less than 35 years d. Find the probability that her age will exceed 40 years Click here to view a table of areas under the standardized normal curve. a. The probability that her age will fall between 54 and 59 years is 0.220 Round to three decimal places as needed.) b. The probablity that her age will fll between 48 and 53 years is 0.381 (Round to three decimal places as needed.) c. The probability that her age will be less than 35 years is 0.001 Round to three decimal places as needed.) 813 Question is complete All parts showing Similar Question e Activity 4 doc ¢ Student Grade Caicula "nxisx d Lab Report 1 Individua a. Lab Report 1 indvaanr Sh . · iss .Explanation / Answer
48 is in the left side of mean
and 53 is on right side of mean
and normal distribution is symmetric about mean
P(48 < X < 53) = area between 48 and mean + area between mean and 53
P(X < mean) = 0.5
area between 48 and mean = P(X < mean) - P(X <48) = 0.5 - P(X < 48)
similarly for area between mean and 53
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