Question

Step 1

From the provided information, the probability (*p*) of U.S. heads of household who play video or computer games is 0.69. The number of random trial (*n*) is 4. The process will follow binomial distribution because the number of observation (*n*) is fixed and each observation is independent and each represents one of two outcomes that is success or failure. Here the probability of success (*p*) is 0.69. Consider *X* be a random variable which represents the number of success. The probability distribution function of binomial distribution can be written as:

Step 2

a)

The probability that none of them play video o...

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