1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Svetradugi [14.3K]
3 years ago
7

Ninety-one percent of products come off the line within product specifications. Your quality control department selects 15 produ

cts randomly from the line each hour. Looking at the binomial distribution, if fewer than how many are within specifications would require that the production line be shut down (unusual) and repaired?Fewer than 10Fewer than 12Fewer than 11Fewer than 9
Mathematics
1 answer:
Allisa [31]3 years ago
8 0

Answer:

Probability of stopping the machine when X < 9 is 0.0002

Probability of stopping the machine when X < 10 is 0.0013

Probability of stopping the machine when X < 11 is 0.0082

Probability of stopping the machine when X < 12 is 0.0399

Step-by-step explanation:

There is a random binomial variable X that represents the number of units come off the line within product specifications in a review of n Bernoulli-type trials with probability of success 0.91. Therefore, the model is {15 \choose x} (0.91) ^ {x} (0.09) ^ {(15-x)}. So:

P (X < 9) = 1 - P (X \geq 9) = 1 - [{15 \choose 9} (0.91)^{9}(0.09)^{6}+...+{ 15 \choose 15}(0.91)^{15}(0.09)^{0}] = 0.0002

P (X < 10) = 1 - P (X \geq 10) = 1 - [{15 \choose 10}(0.91)^{10}(0.09)^{5}+...+{15 \choose 15} (0.91)^{15}(0.09)^{0}] = 0.0013

P (X < 11) = 1 - P (X \geq 11) = 1 - [{15 \choose 11}(0.91)^{11}(0.09)^{4}+...+{15 \choose 15} (0.91)^{15}(0.09)^{0}] = 0.0082

P (X < 12) = 1- P (X \geq 12) = 1 - [{15 \choose 12}(0.91)^{12}(0.09)^{3}+...+{15 \choose 15} (0.91)^{15}(0.09)^{0}] = 0.0399

Probability of stopping the machine when X < 9 is 0.0002

Probability of stopping the machine when X < 10 is 0.0013

Probability of stopping the machine when X < 11 is 0.0082

Probability of stopping the machine when X < 12 is 0.0399

You might be interested in
The admission to the fair is $5 and the cost per ride is 50 cents. If his parents give hime $20, write and solve a linear equati
solniwko [45]

Answer:

Step-by-step explanation:

The admission to the fair is $5 and the cost per ride is 50 cents.

Let the number of rides that he can go on be x

If one ride costs 50 cents, x rides will cost 50×x = 50x cents. Converting 50 cents to dollar, it becomes 50/100 = $0.5.

So x rides will cost $0.5x

If his parents gave him $20, he will pay $5 to be admitted into the fair. He would be left with 20- 5 = $15

The equation to find how many rides he can go on will be

0.5x = 15

Since one ride costs $0.5

x rides cost $15

x = 15/0.5 = 30

He can go on 30 rides

8 0
3 years ago
Suppose an experiment consists of randomly drawing a marble out of a bag and replacing the marble. the bag contains 3 yellow mar
Savatey [412]
Hi there!

Since the yellow marbles to the radio of total marbles is 3/15,

3/15 = 5

We need to divide the total amount is times the marble is drawn by the ratio.

20 ÷ 5 = 4

So, the yellow marble would be drawn 4 times.

Hope this helps!
4 0
3 years ago
Read 2 more answers
What is 15.8666666666666667 as a fraction
lubasha [3.4K]

Answer:

<u>158666666666666667</u>

                   1

Step-by-step explanation:

You move the decimal point two (2) places to the left to get a whole number and you put it over one because they did not give you the denominator so that is why you put it over one.

6 0
3 years ago
Quadrilateral WXYZ has the vertices W(-5, 2), X(-4, -2), Y(3, 1), and Z(2, -5). The quadrilateral is dilated by a scale factor o
vladimir2022 [97]
I’m not sure but is maybe c
5 0
3 years ago
I'm really bad at age chart problems.<br> Can someone help me with this and provide an explanation?
Fed [463]

Answer: 10

Step-by-step explanation:

tony is 5 years younger than Marvin's age 1 year from now.

t = (m+1) - 5

t = m - 4

6 years ago tony was half as old as marvin was then.

t - 6 = 1/2(m - 6)

Get rid of the fraction, multiply both sides by 2

2(t-6) = m - 6

2t - 12 = m - 6

2t = m - 6 + 12

2t = m + 6

from the first statement, replace t with (m-4)

2(m-4) = m + 6

2m - 8 = m + 6

2m - m = 6 + 8

m = 14 is Marvin's present age

:

how old is tony now?

t = 14 - 4

t = 10 yrs is tony's age

4 0
2 years ago
Other questions:
  • The names of the polygons 1-100
    6·1 answer
  • What is 138÷12 to the nearest cent
    7·2 answers
  • Simplify 5 2 thirds
    7·2 answers
  • What is 15.6 over 100 in simplest form?
    5·1 answer
  • I need some help on this.
    8·2 answers
  • Can you find the y=mx+b?
    9·1 answer
  • In the figure shown, GD = 3x + 5, GF = 6x-4, and G is the incenter of AABC. Find GE
    6·1 answer
  • What's the answer to this pls I'll give brainliest ​
    9·1 answer
  • Simplify 20 + 52 x 2.
    13·1 answer
  • The description in lines 20-21 ("temples . . . centers")
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!