Use the following information to answer questions 15 - 17: An electronic store h

Question

Use the following information to answer questions 15 - 17: An electronic store has 20 table radios with connections for iPod or iPhone. 12 of these have both the slots. Six of the 20 radios are randomly selected for display in the shelf. Let X counts the number of displayed radios that have both the slots. 15. What kind of distribution does X have? (a) Negative binomial distribution; r = 6; p = 0.6 (b) Binomial distribution; n=20, p=0.6; x=6 (c) Information is not enough to identify the type of distribution (d) Hypergeometric distribution: N=20, r=12; n=6 16. Compute P(X2 2). (a) 0.911 ) 0.967 0.982 (d 0.921 17. Compute the mean and standard deviation of X (a) E(X) = 3.6; (b) E(X)=3.1; (c) E(X) = 2.85; (d) E(X) 2.12; Ox=1.03 x=1.30 Ox=1.09 x=1.01

Explanation / Answer

15) Option-D)

16) P(X > 2) = 1 - (P(X =0) + P(X = 1))

= 1 - (12C0 * 8C6 / 20C6 + 12C1 * 8C5 / 20C6)

= 1 - 0.0181

= 0.982

Option-C) 0.982

17) E(X) = n * r / N = 6 * 12/20 = 3.6

Variance = n * r * (N - r) * (N - n) / (N2 *(N - 1))

= 6 * 12 * 8 * 14 / (400 * 19)

= 1.061

Standard deviation = sqrt(1.061) = 1.03

Option-A

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