can u please help me answer this question and also please write clearly so I can

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can u please help me answer this question and also please write clearly so I can understand thank you so much also please show all steps thank you so much .have a bless day

4. The time it takes for babies to learn to walk is known to be normally distributed with mean 8 months and standard deviation of 1.5 months. What percent of babies learn to walk: a) between 9 and 12 months. (inclusive) B more than 10 months. c) less than 7 months. d) If the longest 2.5% are considered to be "late bloomers", how many months constitutes a "late bloomer ) If the shortest 2.5% are considered as "ahead of their time", how any months constitutes being "ahead of their time" 5 points 5 points 5 points 5 point 5 point

Explanation / Answer

4.

Mean = 8, Stdev=1.5

We will use this to normalize our variable as follows:

a. P(9<X<12) = P(9-8/1.5 <Z< 12-8/1.5) = P( .67>Z<2.67) = .9962-.7486=.2476

b. P(X>10) = P(Z> 10-8/1.5) = P(Z>1.33) = 1-.9082 = .09188

c. P(X>=c) = 0.025, Z value is 1.96, c=1.96*1.5+8=10.94

d. P(X<=c) = .025, Z value is -1.96, c=-1.96*1.5+8=5.06

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