If X represents a random variable coming from a normal distribution with mean 5 and if...

Question

Question

If X represents a random variable coming from a normal distribution with mean 5 and if P(X>6.2)=0.28, then P(5<X<6.2) = 0.22

Can you please explain this step by step with an explanation, please?

math Statistics-And-Probability

Answer 1

Answer #1

here since mean is at 5, and for normal distribution is symmetric therefore equal proportion of area on both sides of 5

therefore P(X<5)= 0.5

P(X<6.2) =1-P(X>6.2)=1-0.28 =0.72

P(5<X<6.2) =P(X<6.2)-P(X<5) =0.72-0.50 =0.22

Answer 2

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