aariannahnorwoo
17.07.2020 •
Mathematics
Making handcrafted pottery generally takes two major steps: wheel throwing and firing. The time of wheel throwing and the time of firing are normally distributed random variables with means of 40 minutes and 60 minutes and standard deviations of 2 minutes and 3 minutes, respectively. Assume the time of wheel throwing and time of firing are independent random variables.
A) What is the probability that a piece of pottery will befinished within 95 minutes?
B) What is the probability that it will take longer than 110minutes?
Solved
Show answers
More tips
- S Society and Politics What If There s War Tomorrow, What If We Go to War?...
- S Sport How to Do a Jumping Split...
- A Animals and plants What Do Terriers Eat?...
- F Food and Cooking Discover the Benefits and Properties of Dates...
- C Computers and Internet Dynamically Assigned IP Address: What Is It and How Does It Work?...
- S Style and Beauty How to Get Rid of Acne: Scientifically Proven Methods...
- H Health and Medicine Simple Ways to Lower Cholesterol in the Blood: Tips and Tricks...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
- S Style and Beauty Intimate Haircut: The Reasons, Popularity, and Risks...
Answers on questions: Mathematics
- M Mathematics As a restaurant, you and four friends divide the bill evenly. Each person pays $7.35. How much is the total bill?...
- M Mathematics Please help i only have a few minutes!! what are the measures of 1 and 2?...
- M Mathematics Graph the parabola. y=3x² Plot five points on the parabola: the vertex, two points to the left of the vertex, and two points to the right of the vertex. Then click...
- M Mathematics 2. Felicia took out a simple interest loan at 12 percent interest for 6 months. Her previous balance is $2,460, What is the final payment if the loan is paid off...
- M Mathematics What does a discrete quantitative variable mean?...
- M Mathematics Have you seen this man??- is he good looking or no...
- M Mathematics 6.3 rounded to the nearest whole number pls help me!!...
- M Mathematics Please help me!!! ASAP!...
- M Mathematics If A=2x+10 and B=2x+2 what is the measurement of A...
- M Mathematics A survey asked, How many tattoos do you currently have on your body? Of the 1216 males surveyed, 191 responded that they had at least one tattoo. Of the 1019 females...
Ответ:
a) 8.23% probability that a piece of pottery will be finished within 95 minutes
b) 0.28% probability that it will take longer than 110 minutes.
Step-by-step explanation:
Normal distribution:
When the distribution is normal, we use 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.
Two variables:
Means
Standard deviations
Sum:
In this question:
So
A) What is the probability that a piece of pottery will befinished within 95 minutes?
This is the pvalue of Z when X = 95.
has a pvalue of 0.0823
8.23% probability that a piece of pottery will befinished within 95 minutes.
B) What is the probability that it will take longer than 110 minutes?
This is 1 subtracted by the pvalue of Z when X = 110.
has a pvalue of 0.9972
1 - 0.9972 = 0.0028
0.28% probability that it will take longer than 110 minutes.
Ответ:
Step-by-step explanation:
The quotient of a fraction is the whole number that is obtained when you simplify the fraction. If the simplification of a fraction is not a whole number, the quotient is the decimal form of the fraction.