Question

Use the probability distribution table to answer the question. What is P(2≤X≤5)? Enter your answer, as a decimal, in the box.

Answer 1

$\mathbb P(2\le X\le5)=\mathbb P(X=2)+\mathbb P(X=3)+\mathbb P(X=4)+\mathbb P(X=5)$

According to the table, we have

$\mathbb P(2\le X\le5)=0.15+0.09+0.07+0.02=0.35$

Answer 2

Answer:

The probability is $P(2\le X\le5)=0.35$    

Step-by-step explanation:

Given : Probability distribution table:

X P(X)

0 0.45

1 0.21

2 0.15

3 0.09

4 0.07

5 0.02

6 0.01

To find : What is P(2≤X≤5)?

Solution :

Probability of X between 2 to 5 is given by,

$P(2\le X\le5)=P(X=2)+P(X=3)+P(X=4)+P(X=5)$

Now, Substituting the value from the table, we have

$P(2\le X\le5)=0.15+0.09+0.07+0.02$

$P(2\le X\le5)=0.35$

Therefore, The probability is $P(2\le X\le5)=0.35$