![PineaPPle663](/avatars/42743.jpg)
PineaPPle663
18.02.2020 •
Mathematics
The diameter of the dot produced by a printer is normally distributed with a mean diameter of 0.002 inch and a standard deviation of 0.0004 inch. A. What is the probability that the diameter of a dot exceeds 0.0026 inch? B. What is the probability that a diameter is between 0.0014 and 0.0026? C. What standard deviation of diameters is needed so that the probability in part (b) is 0.995?
Solved
Show answers
More tips
- F Food and Cooking 10 Tips for Proper Sushi Consumption...
- H Health and Medicine Want to Lose Weight? Gain Muscle without Damaging Your Health!...
- F Family and Home Parquet or laminate, which is better?...
- L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
- L Leisure and Entertainment How to Make a Paper Boat in Simple Steps...
- T Travel and tourism Maldives Adventures: What is the Best Season to Visit the Luxurious Beaches?...
- H Health and Medicine Kinesiology: What is it and How Does it Work?...
- 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 The perimeter of rectangle ABCD is 16 centimeters, and the ratio of its width to its length is 1 : 3. Segment BD divides the rectangle into two congruent triangles....
- M Mathematics A circle has an area of 1075.21 m^2 What is the radius to the nearest 1 decimal x.x...
- M Mathematics Write a rule for g. Describe the graph of g as a transformation of the graph of f. f(x) = x^3 - x, g(x) = f(x) - 3...
- M Mathematics Pls show solution tysm...
- M Mathematics A book sold 33800 copies in its first month of release. Suppose this represents 7.3 of the number of copies sold to date. How many copies have been sold to date?...
- M Mathematics May you please help me with this...
- M Mathematics 1. How many lines are there in the figure? 2. What are the intersecting lines? 3. What is the point of intersection of line CI and line AI?(Will give brainliest...
- M Mathematics 3.4.2 Quiz: Transformations Question 2 of 10 Which of the following steps were applied to ABC obtain SA B C ? 12 10 10 O A. Shifted 4 units right and 3 units up...
- M Mathematics Michelle and Themba are travelling from Cape Town to Johannesburg by car. They travel 39km in 18 minutes and continue at a constant speed . How far will they have...
- M Mathematics The graph that represent the function f(x)=−3⋅2x has a y-intercept of? (0, -3) or (0,2). The common ratio is? -3, (0,-3), 2...
Ответ:
(a) 0.06681
(b) 0.86638
(c)
= 0.000214
Step-by-step explanation:
We are given that the diameter of the dot produced by a printer is normally distributed with a mean diameter of 0.002 inch and a standard deviation of 0.0004 inch i.e.;
= 0.002 inch and
= 0.0004
Also, Z =
~ N(0,1)
(a) Let X = diameter of a dot
P(X > 0.0026 inch) = P(
>
) = P(Z > 1.5) = 1 - P(Z <= 1.5)
= 1 - 0.93319 = 0.06681
(b) P(0.0014 < X < 0.0026) = P(X < 0.0026) - P(X <= 0.0014)
P(X < 0.0026) = P(
<
) = P(Z < 1.5) = 0.93319
P(X <= 0.0014) = P(
<=
) = P(Z <= -1.5) = 1 - P(Z <= 1.5)
= 1 - 0.93319 = 0.06681
Therefore, P(0.0014 < X < 0.0026) = 0.93319 - 0.06681 = 0.86638 .
(c) P(0.0014 < X < 0.0026) = 0.995
P(
<
<
) = 0.995
P(
< Z <
) = 0.995
P(Z <
) - P(Z <=
) = 0.995
P(Z <
) - (1 - P(Z <
) ) = 0.995
2 * P(Z <
) - 1 = 0.995
P(Z <
) = 0.9975
On seeing the z table we observe that at critical value of x = 2.81 we get the probability area of 0.9975 i.e.;
Therefore, 0.000214 standard deviation of diameters is needed so that the probability in part (b) is 0.995 .
Ответ:
what
Step-by-step explanation: