Because the random variable x follows a continuous uniform distribution from x=1 to x=5, therefore
p(x) = 1/4, x=[1, 5]
The value of p(x) ensures that the total area under the curve = 1.
The conditional probability p(x > 2.5 | x ≤ 4) is the shaded portion of the curve. Its value is
p(x > 2.5 | x ≤4) = (1/4)*(4 - 2.5) = 0.375
Answer: 0.375
The answer is 2√3
I hope this answers your question :)
Answer:

Step-by-step explanation:
Given : The probability that an adult was never in a museum is : p=0.10
The number of adults randomly surveyed: n = 60
In Binomial distribution , the formula to find the mean and the standard deviation is given by :-

Then , the mean and standard deviation of the number that were never in a museum will be :-

a. We're looking for
such that




b. Integrating with respect to
will make things easier.

(where we take the positive square root because we know
)
Now we want to find
such that




Answer:
Step-by-step explanation:
Average amount saved per year = 
=$
So on average Joanne has saved $3000 per year. She only needs $2000 more which will not even take a year to save.
How many months it will take to save $2000:

=
Months.
It will only take Joanne 8 moths to save $2000.
If she really wants to buy the home now she can always go for a home loan scheme for $2000. Any interest rate less than 50% per year is fine as she can save $3000 per year.