ignore the writting and sollve it Find Var(Y). a. 1 b. 9 c. 0 d. 2 e. 3 Use the
ID: 3239001 • Letter: I
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ignore the writting and sollve it
Find Var(Y). a. 1 b. 9 c. 0 d. 2 e. 3 Use the following information to answer questions 18, 19, and 20: A random sample of size n = 10 is taken from a production line of LEDs and each LED unit is subjected to the same quality control test with two possible outcomes: Satisfactory or Not-Satisfactory. Each LED unit is known to be Satisfactory with probability 0.9 independent of others. If X is the random variable that captures the number of Not-Satisfactory LEDs in this sample, which of the following is correct? (Note that n is the number of trials and theta is the probability of success for X.) a. X is binomially distributed with n = 10 and theta = 0.9 b. X is binomially distributed with n = 10 and theta = 0.5 c. X is bernoulli distributed with theta = 0.9 d. X is binomially distributed with n = 10 and theta = 0.1 e. X is negative binomially distributed with r = 9 and theta = 0.1 Which of the following gives the probability for X = 3? a. (10 3) (0.1)^3 (0.9)^7 b. (9 2) (0.1)^3 (0.9)^7 c. (10 3) (0.1)^7 (0.9)^1 d. (10 3) (0.5)^3 (0.5)^7 e. (0.1)^3 (0.9)^7 If Y is the random variable that captures the number of Satisfactory LEDs in this sample, which of the following gives the expected value of Y? a. (10)(0.1)(0.9) b. (10)(0.1) c. (5)(0.1) d. (10)(0.5) e. (10)(0.9)Explanation / Answer
Ans 18.
correct is d.
Since it's 10 Bernoulli trials which lead to Binomial distribution and n=10
since SATISFACTORY prob=0.9 so fail, SATISFACTORY prob=1-0.9 =.1
Ans 19.
correct is a.
P(X=3) =nCr*p^r * (1-p)^(n-r) = 10C3*0.1^3 * (1-.1)^7
Ans 20.
correct is e.
since mean= n*p= 10*.9 = 9
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