Question

A certain cold remedy has an 88% rate of success of reducing symptoms within 24 hours. Find the probability that in a random sample of 45 people who took the remedy

Answer 1

The probability of cured people in who took the remedy is 8/9.

Explanation:

Success rate of the cold remedy = 88%

The number of people who took the remedy = 45

Now, 88% of 45 =
`(88)/(100)  * 45 = 39.6`

and 39.6 ≈ 40

So, out of 45 people, the remedy worked on total 40 people.

Now, let E: Event of people being cured by cold remedy

Favorable outcomes = 40

`\textrm{Probability of Event E}  = \frac{\textrm{Total number of favorable outcomes}}{\textrm{Total outcomes}}`

or,
`\textrm{Probability of people getting cured}  = \frac{\textrm{40}}{\textrm{45}}` =
`(8)/(9)`

Hence, the probability of cured people in who took the remedy is 8/9.