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The duration of Muž z neznáma is 1.33 hours.

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11y ago

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In a normal distribution with mu equals 25 and sigma equals 3m what number corresponds to z equals -3?

z = (x-mu)/sigma So x = sigma*z + mu = 3m*(-3) + 25 = -9m + 25


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If X is a normal random variable with standard deviation 4.00 and if the probability that X is more than 5.52 is 0.305 then what is the mean of X?

Denote by mu the mean of X. Given P(X>5.52)=0.305 i.e., P((X-mu)/4> (5.52-mu)/4)=0.305 So, letting Z=(X-mu)/4. Then Z~N(0,1). Hence, the above equality is P(Z>(5.52-mu)/4)=0.305. So, (5.52-mu)/4=0.51 So, mu=5.52-4*0.51=3.48 So, the best answer is 3.5


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