The score of golfers for a particular course follows a normal distribution that has a mean of 73 and a standard deviation of 3. Suppose a golfer played the course today. Find the probability that her score is at least 74. 0.4772

P(X 74) = 0.3707

Step-by-step explanation:

We are given that the score of golfers for a particular course follows a normal distribution that has a mean of 73 and a standard deviation of 3.

Let X = Score of golfers

So, X ~ N()

The z score probability distribution is given by;

           Z = ~ N(0,1)

where, = population mean = 73

            = standard deviation = 3

So, the probability that the score of golfer is at least 74 is given by = P(X 74)

 P(X 74) = P( ) = P(Z 0.33) = 1 - P(Z < 0.33)

                                               =  1 - 0.62930 = 0.3707                  

Therefore, the probability that the score of golfer is at least 74 is 0.3707 .

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