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:
None
Step-by-step explanation:
Because mode is a set of data values is the value that appears most often. If there is no data value or data values that occur most frequently, we say that the set of data values has no mode.
Lets calculate how much she walks each weeks and then we multiply that by the number of weeks.
weekWalk = 5(2) + 3 = 10 + 3 = 13
therefore, she walks 13 miles per week, if she walked for 29 weeks then we have:
total walked =(29)(13) = 377
so she walked 377 miles total, so her original estimate is not reasonable
The value f x when y= 5 is 2
<h3>Variations </h3>
Let the given equation be y = k/x
where k is the constant
if y = 2 when x= 5, then;
k = xy
k= 2(5)
k = 10
In order to determine the value of x when y = 5
x = k/y
x = 10/5
x = 2
Hence the value f x when y= 5 is 2
Learn more on variation here: brainly.com/question/6499629
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Answer:
2/3
Step-by-step explanation:
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