Question

Use the frequency table to find the probability of 0-2 responses received to this week's newspaper editorials.

Answer 1

Answer: c)
`P(X\leq2)=0.53`

Explanation:

By using the given frequency table in the picture, we need to find the value of

`P(X\leq2)` i.i.e x is equal to at-most 2

For that we need to find the probability at x=0,1,2

Now,

`P(X=0)=(20)/(200)=0.1\\\\P(X=1)=(30)/(200)=0.15\\\\P(X=2)=(56)/(200)=0.28`

Now,

`P(X\leq2)=P(X=0)+P(X=1)+P(X=2)\\\\\Rightarrow\ P(X\leq2)=0.1+0.15+0.28\\\\\Rightarrow\ P(X\leq2)=0.53`

Hence, the probability of 0-2 responses received to this week's newspaper editorials=
`P(X\leq2)=0.53`

Answer 2

C

Explanation:

When we want probability of LESS THAN OR EQUAL TO 2, we need to take 0, 1, and 2.

We can add the number of editorials corresponding to p=0,1,2 and then divide that by total (200) to get our answer.

`P(\leq2)=(20+30+56)/(200)\\P(\leq2)=(106)/(200)\\P(\leq2)=0.53`

Answer choice C is right.