QUESTION 1 2 points Save Answer Consider an experiment that one coin is tossed.

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QUESTION 1 2 points Save Answer Consider an experiment that one coin is tossed. Let x the number of the tails occurring. Express the probability of the random variable x by filling blanks below. (Keep your answers with decimals, such as 0.12.) P(s) QUESTION 2 6 points Save Answer If x is a binomial random variable, calculate the probability of x for each case. (Hint: you need to figure out the value of q first before using the formula, and T183 calculator is required) A. 0.3932 B. 0.0014 C. 0.384 D. 0.0046 E. 0.375 F. 0.4116 G. 0.0081 H. 0.562 L 0.25 J. 0.3292 QUESTION 3 2 points Save Answer Consider the following binomial random variables. The numbers of sixes seen in 50 rolis of a die. A 8.3 Find the mean B. 2.64 C.2.5 D. 1.57 The number of sixes seen in 50 rolls of adie Find the standard deviation The number of defective televisions in a shipment of 125 (the manufacturer claimed that 96% of the sets were operative). Find the The number of defective televisions in a shipment of 125 (the manufacturer claimed that 98% of the sets were operative. Find the standard deviation Click Saure and Submit to save and submit. Cick Save All Anscers to save all ansaners Save All Answers Save and Submit

Explanation / Answer

Solution-

1. Here random variable X is defined as the number of tails coming and must follow binomial distribution with parameters, n = 1 and p = 0.5

Then P(X=0) = 1c0 * 0.50 * 0.51

= 0.5

and P(X=1) = 1c1 * 0.51 * 0.50

= 0.5

Thanks!

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