A park charges $12 for one round of miniature golf and a reduced fee for each additional round played. If Tom payed $27 for 6 ro
1 answer:
You might be interested in
Answer:
The probability is 1/2
Step-by-step explanation:
The time a person is given corresponds to a uniform distribution with values between 0 and 100. The mean of this distribution is 0+100/2 = 50 and the variance is (100-0)²/12 = 833.3.
When we take 100 players we are taking 100 independent samples from this same random variable. The mean sample, lets call it X, has equal mean but the variance is equal to the variance divided by the length of the sample, hence it is 833.3/100 = 8.333.
As a consecuence of the Central Limit Theorem, the mean sample (taken from independant identically distributed random variables) has distribution Normal with parameters μ = 50, σ= 8.333. We take the standarization of X, calling it W, whose distribution is Normal Standard, in other words
The values of the cummulative distribution of the Standard Normal distribution, lets denote it , are tabulated and they can be found in the attached file, We want to know when X is above 50, we can solve that by using the standarization
we are given
Since, we have to solve for m
so, we will try to isolate m on anyone side
so, firstly , we will get rid of 1/6
so, we can multiply both sides by 6
now, we can simplify right side
now, we can multiply them
and we get
...........Answer