Given a normal distribution with the ?=52 and ?=3?, complete parts? (a) through? (d). a. What is...

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Given a normal distribution with the ?=52 and ?=3?, completeparts? (a) through? (d).

a. What is the probability that X>47??

P(X>47?)=0.9525

?(Round to four decimal places as? needed.)

b.What is the probability that X<49??

?P(X<49?)=0.1587

?(Round to four decimal places as? needed.)

c.For this? distribution, 5?% of the values areless than what? X-value?

X =

?(Round to the nearest integer as? needed.)

d. Between what two? X-values (symmetricallydistributed around the? mean) are 80?% of the? values?

Between what two? X-values (symmetrically distributed aroundthe? mean) are 85% of the? values?

Between what two? X-values (symmetrically distributed aroundthe? mean) are 90?% of the? values?

Between what two? X-values (symmetrically distributed aroundthe? mean) are 95% of the? values?

I need help with parts c.) and d.) please!

Answer & Explanation Solved by verified expert
3.8 Ratings (599 Votes)
Solution Given that mean 52standard deviation 3aPx 47 1 Px 47 1 Px 47 09525Probability 09525bPx 49 Px 49 52 3 Pz 1Using    See Answer
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