Using the binomial distribution, it is found that there is a 0.027 = 2.7% probability that he makes exactly 1 of the 3 free throws.
For each free throw, there are only two possible outcomes, either he makes it, or he misses it. The results of free throws are independent from each other, hence, the binomial distribution is used to solve this question.
Binomial probability distribution


The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- He makes 90% of the free throws, hence
.
- He is going to shoot 3 free throws, hence
.
The probability that he makes exactly 1 is P(X = 1), hence:


0.027 = 2.7% probability that he makes exactly 1 of the 3 free throws.
To learn more about the binomial distribution, you can take a look at brainly.com/question/24863377
Answer:
6
Step-by-step explanation:
Area = 1/2( base times height)
since the height is perpendicular to the base
therefore
6 = 1/2(3) h
12 =3h
4=h
4 units away from the y=2 line is at the y coordinate of 6
Answer:
z = -3
Step-by-step explanation:
<u>Use the formula for z-score</u>

This tells us that the person's score of 150 puts him/her 3 standard deviations below the mean of 300.
Answer:
30
Step-by-step explanation:
The given is right triangle with angle measure 90-60 and 30 degrees as we can see on the image.