Question

On the walk to school each day, a student looks for pennies on the ground. Out of 24 days, the student found a penny on 5 of the days. Based on this data, determine the probability that the student will find a penny tomorrow.

Answer 1

Answer:

0.2083

Step-by-step explanation:

This is a scenario with only two outcomes, finding a penny (success) and not finding a penny (failure).

The probability of finding a penny ,p,is computed as the number of days the student found a penny divided by total number of days under consideration. ie.

$p=\frac{5}{24}=0.2083$

Let X be the number of days on which a penny was found, then random variable X follows a bernoulli distribution with p=0.2083

$P(X=x)=p^x*(1-p)^1-x,X=0,1$

Probability of success is P(X=1);

$P(X=1)=0.2083^1*(1-0.2083)^{1-1}\\P(X=1)=0.2083^1*0.7917^0\\P(X=1)=0.2083$