Homework: Week 3 Homework Score: 0 of 3 pts 1 of 10 (0 co .3.19 Let the random v
ID: 3043071 • Letter: H
Question
Homework: Week 3 Homework Score: 0 of 3 pts 1 of 10 (0 co .3.19 Let the random variable X follow a normal distribution with =70 and o2-49 a. Find the probability that X is greater than 80. b. Find the probability that X is greater than 60 and less than 84. c. Find the probability that X is less than 75 d. The probability is 0.3 that X is greater than what number? e. The probability is 0.05 that X is in the symmetric interval about the mean between which two numbers? EE Click the icon to view the standard normal table of the cumulative distribution function. a. The probability that X is greater than 80 is (Round to four decimal places as needed.)Explanation / Answer
=70
^2 =49
So, =sqrt(49) =7
x=80
z=(x-)/
=(80-70)/7
=(10/7)
=1.43
P(x>80) =P(z>1.43)
=1-P(z<1.43)
=1-0.9236
=0.0764
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