Answer: the probability that the sample mean is between 2.7 and 3.2 is 0.13
Step-by-step explanation:
The probability density function is expressed as
f(x) = 1/(b - a)
Where
b represents the highest value of x
a represents the lowest value of x
From the information given
b = 5
a = 1
Therefore,
f(x) = 1/(5 - 1) = 1/4 = 0.25
the probability that the sample mean is between 2.7 and 3.2 is expressed as
P(2.7 < x < 3.2)
It becomes
(3.2 - 2.7)0.25 = 0.5 × 0.25
= 0.13 rounded to 2 decimal places
