An electrical firm manufactures light bulbs that have a length life with normal distribution, and mean equal to 800 hours, and a variance of 7. Find the probability that a random sample of 21 light bulbs will have a sample variance S² greater than 13.15. Find the probability that a random sample of 40 light bulbs will have a sample variance S² of at most 5.88.

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A: Given thatConsider,

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A: It is given that the pdf is,

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A: Given the first two rows of matrix U:

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A: Answer,The population mean = 20The population variance = 4

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A: Mean()=104.1standard deviation()=99.5sample of size(n)=19

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A: 1)The t distribution with degrees of freedom 125.2)Distribution: Chi-square with 1 df3)F…

Q: Suppose X is a normal random variable with μ = 40 and σ = 20. Find P(X > 20.2). A) 0.1611 B)…

A: Mean()=40Standard deviation()=20

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A: The pmf function is,1248160.050.150.300.450.05“Since you have posted a question with multiple sub…

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A:

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A:

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A: The joint PDF of the random variables  and  is given as follows:

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A: The average length of a password = 8No. of letters in the alphabets=26

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A: a coin is tossed 14 timesProbability of getting heads when a coin is tossed(p)==0.5sample…

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A: The Joint PDF of X and Y  is :f(x,y)=3x2+4y320≤x≤2,0≤y≤2

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A: A bag that contains the eighteen letters of the Greek city ELEFTHERIO-KORDELIO.

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Q: Exercise 1 IQ scores are known to be approximately normally distributed, with a mean of 100 and a…

A: The objective of this question is to find the proportion of the population that falls under certain…

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A: The provided information is as follows:Loses due to burglary are exponentially distributed with a…

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A: From the provided information,The expression is as follow:P (Z &gt;0.57)

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A: Independent events: Independent events are events where the occurrence of one event does not affect…

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