anthonyalvar6636
18.03.2020 •
Mathematics
Suppose 3% of the people contacted by phone are receptive to a certain sales pitch and buy your product. If your sales staff contacts 2000 people, what is the probability that more than 100 of the people contacted will purchase your product?
Solved
Show answers
More tips
- F Family and Home What does a newborn need?...
- F Family and Home Choosing the Right Car Seat for Your Child: Tips and Recommendations...
- F Food and Cooking How to Get Reconfirmation of Registration?...
- C Computers and Internet How to Get Rid of Spam in ICQ?...
- A Art and Culture Who Said The Less We Love a Woman, the More She Likes Us ?...
- F Family and Home How to Get Rid of Your Neighbors?...
- S Society and Politics How Could Nobody Know About the Dead Mountaineers?...
- H Health and Medicine How to Cure Adenoids?...
- H Health and Medicine Why Wearing a Back Brace Can Be Beneficial During Back Strain?...
- S Sport When and Where Will the 2014 World Cup be Held?...
Answers on questions: Mathematics
- M Mathematics Ǫᴜɪᴢ- What is Explain It....
- M Mathematics Please help! I also need the steps!...
- M Mathematics 2 1/4 ⋅ 1 2/3 as a mixed number...
- M Mathematics 3 (y + 7/3) = 36/3 what is y...
- M Mathematics What does 3x+8+9x^2 equal?...
- M Mathematics George bought a car at $5000 and sold it at $5500. What benefit, in percent, did he make? a. 500% b. 10% C. 5000% 0.5%...
- M Mathematics If 30% of a number is 15, what is 25% of the number?...
- M Mathematics What is the VOLUME of this cone? 14 cm 7 cm...
- M Mathematics Help please help meeeee...
- M Mathematics -6(x + 3)+ 2x=7x-18-11x...
Ответ:
The probability that more than 100 purchase the product is 0
The given parameters are:
Calculate the mean using
Calculate the standard deviation using
So, we have:
For x = 100, the z-score is calculated using:
So, we have:
So, the probability that more than 100 purchase the product is calculated using:
From z-score of probabilities, we have:
Hence, the probability is 0
Read more about probabilities at:
link
Ответ:
0% probability that more than 100 of the people contacted will purchase your product
Step-by-step explanation:
To solve this question, i am going to use the binomial approximation to the normal.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
Normal probability distribution
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that , .
In this problem, we have that:
So
What is the probability that more than 100 of the people contacted will purchase your product?
This is 1 subtracted by the pvalue of Z when X = 100. So
has a pvalue of 1
1 - 1 = 0
0% probability that more than 100 of the people contacted will purchase your product
Ответ: