In hawaii, january is a favorite month for surfing since 60% of the days have a surf of at least 6 feet.† you work day shifts in a honolulu hospital emergency room. at the beginning of each month you select your days off, and you pick 6 days at random in january to go surfing. let r be the number of days the surf is at least 6 feet. what is the probability of getting 4 or more days when the surf is at least 6 feet? (round your answer to three decimal places.)

The probability of getting 4 or more days when the surf is at least 6 feet is 0.544

Step-by-step explanation:

We can modelate this exercise as a binomial random variable.

The probability function of a binomial random variable is :

Where is the probability of the variable X to assume the value r

nCr is the combinatorial number define as

n is the number of binomial experiments that we make. In our exercise, n is the number of random days we pick of January.

And finally p is the success probability.

In our exercise, we define X : ''The number of days when the surf is at least 6 feet''.

And we are looking for P(X≥4).

P(X≥4) = P(X = 4) + P(X = 5) + P(X = 6)

Finally

P(X≥4)=

P(X≥4) = 0.544

answer for #1 is c

answer for #2 is d

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