Answer:
The probability that she will not get a hit until her fourth time at bat in a game is 0.103
Step-by-step explanation:
Previous concepts
The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"
Let X the random variable that measures the number os trials until the first success, we know that X follows this distribution:
Solution to the problem
For this case we want this probability
And using the probability mass function we got:
The probability that she will not get a hit until her fourth time at bat in a game is 0.103
Answer:
State A was the <u>12th</u> state to enter the Union. State B was the <u>11th</u> state to enter the Union.
Step-by-step explanation:
Let's call x to the order-of-entry of State B, therefore the order-of-entry of State A is x+1. Given that he product of their order-of-entry numbers is 132:
x*(x+1) = 132
x² + x - 132 = 0
Using quadratic formula:
The negative solution has no sense in the context of our problem, then the solution is x = 11.
The chance that one of the defective components is
or 2.14285714% that the qc person will test a defective unit.