UneWorR: Homework for Section 3.2 Save core: 0 of 10 pts 9 of 10 (6 complete) HW

Question

UneWorR: Homework for Section 3.2 Save core: 0 of 10 pts 9 of 10 (6 complete) HW Score: 52.5%, 52.5 of 100 pts .2.41 E Question Help The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 262.6 and a standard deviation of 65.4.(l units are 100 celisil,) Using the empirical rule, find each approximate percentage below a. What is the approximate percentage of women with platelet counts within 1 standard deviation of the mean, or between 197 2 and 3280 b. What is the approximate percentage of women with platelet counts between 66.4 and 458.8 a. Approximately 1% of women in this group have platelet counts within 1 standard deviation of the mean, or between 1972 and 3280 (Type an integer or a decimal. Do not round.) Enter your answer in the answer box and then cick Check Answer remaining

Explanation / Answer

mu= 262.6

sigma= 65.4

X= 328

Z=(X-mu)/sigma

=(328-262.5)/65.4

1

probability P1=P(Z<1)

p1= 0.84134

mu= 262.6

sigma= 65.4

X= 197.2

Z=(X-mu)/sigma

=(197.2-262.6)/65.4

-1

probability P2= p(Z<-1)

p2= 0.15865

Required probability is (P1-P2)=0.68268

in percentage it is 68.268%

approximately it is 68%

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