Continuous Probability Distributions The data records the length of stay of engineering students in the university. We will assume a uniform distribution between 5 to 7 years, inclusive. What is the probability that a randomly chosen engineering student will stay at most 6 years?

UkusakazaL

UkusakazaL

Answered question

2021-08-08

Continuous Probability Distributions
The data records the length of stay of engineering students in the university. We will assume a uniform distribution between 5 to 7 years, inclusive. What is the probability that a randomly chosen engineering student will stay at most 6 years?

Answer & Explanation

Haven

Haven

Beginner2021-08-08Added 1 answers

Step 1
Given:
The range of uniform distribution is between 5 to 7 years.
The objective is to find the probability of randomly chosen student who will stay at most 6 years.
Step 2
The formula to find the required probability is,
P(X6)=xaba
Here, a, b stands for lower limit and upper limit.
From the given data, a=5 and b=7
Now substitute the obtained values in the formula of probability.
P(X6)=6575
=12
=0.5
Hence, the probability of randomly chosen student who will stay at most 6 years is 0.5.

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