Question
Asked Oct 8, 2019
128 views

A basketball player has a free throw percentage of 93%. What is the probability she misses at least one of his next 27 free throws?

check_circle

Expert Answer

Step 1

The probability of she misses at least one of his next 27 free throws is obtained below:

Let X be the number of throws until she the first missed,  93% of player has a free throw, that is q = 0.93. 7% of does not make her free throw, that is p = 0.07 (1–0.93).

Therefore, the distribution is binomial distribution with sample size 27 and probability of success 0.07. That is, X~ Binomial (27, 0.07).

The formula for the probability of binomial distribution is,

Aк -те-"
"Вove-pт
Р(х - х)-
р)"" here x %3D0,1,2,....,п for 0sp<1
. ,00)-е
help_outline

Image Transcriptionclose

Aк -те-" "Вove-pт Р(х - х)- р)"" here x %3D0,1,2,....,п for 0sp<1 . ,00)-е

fullscreen
Step 2

The required proba...

P(X21)-1-P(X0)
27
=1-
-Jaorya-o.0
07(1-0.0774
27-0
1-(1)(1)(0.93)
27
1-0.1409
0.8591
help_outline

Image Transcriptionclose

P(X21)-1-P(X0) 27 =1- -Jaorya-o.0 07(1-0.0774 27-0 1-(1)(1)(0.93) 27 1-0.1409 0.8591

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Other

Related Statistics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: A random sample of n = 6 scores is selected from a population. Which of the following distributions ...

A: The central limit theorem explains that if a random sample of size n is taken from a population havi...

question_answer

Q: distributions of both Y1 and Yn are uniform and continuous

A: We know that first order statistic PDF is given by fy1(y1) as shown below. Mean or Expected value ca...

question_answer

Q: The table below contains the geographic latitudes, x, and average January temperatures, y, of 20 cit...

A: Software procedure for regression in Excel.Enter the given data in EXCEL sheet as x in column A and ...

question_answer

Q: A quality control inspector selects a part to be tested. The part is then declared acceptable, repai...

A: According to the provided details there are 3 options for the first part and 3 options for the secon...

question_answer

Q: Explain why populations are sampled and describe four methods to sample a population.

A: The population consists of all the data points and usually populations are very large. A sample is a...

question_answer

Q: 5) Cost of Residential Water. On its municipal website, the city of Tulsa states that the rate it ch...

A: 5. 1) The hypothesis for checking whether the population mean rate per 5 CCF of residential water ch...

question_answer

Q: what is the central limit theorum?

A: Central limit theorem:Central limit theorem is defined as the sampling distribution of any identical...

question_answer

Q: Concerns about climate change and CO2 reduction have initiated the commercial production of blends o...

A: It is given that the mean and standard deviation are 0.9220 and 0.0060, respectively. The sample siz...

question_answer

Q: In a tennis match, on a given point, the player who is serving has two chances to hit the ball in pl...

A: Let A be the event that there is fault in first serveTherefore, probability of fault in first serve ...