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
jasenka [17]
3 years ago
12

The number of failures of a testing instrument from contamination particles on the product is a Poisson random variable with a m

ean of 0.025 failures per hour. (a) What is the probability that the instrument does not fail in an 8-hour shift
Mathematics
1 answer:
photoshop1234 [79]3 years ago
7 0

Answer: 0.1353

Step-by-step explanation:

Given : The mean of failures =  0.025 per hour.

Then  for 8 hours , the mean of failures = \lambda=8\times0.25=2 per eight hours.

Let X be the number of failures.

The formula to calculate the Poisson distribution is given by :_

P(X=x)=\dfrac{e^{-\lambda}\lambda^x}{x!}

Now, the probability that the instrument does not fail in an 8-hour shift :-

P(X=0)=\dfrac{e^{-2}2^0}{0!}=0.1353352\approx0.1353

Hence, the the probability that the instrument does not fail in an 8-hour shift = 0.1353

You might be interested in
Lori has nine hours to spend this weekend working on a dozen art projects. If she splits her time evenly how long will she work
zloy xaker [14]

Answer:

4 hours and 30 min every day

Step-by-step explanation:

2 days in weekend so 4 hour and 30 times two is 9 hours your welcome

5 0
3 years ago
Write and equation parrallel to y=-5/2x+9 that passes through the <br> point (-6,7).
Black_prince [1.1K]
To be parallel, gradients are the same!
so the gradient is -5/2.
y=-5/2x +c
substitute the points youve been givrn into this to find c!
7=-5/2 (-6) +c
7=15 +c
c must equal -7
y=-5/2x -7
4 0
3 years ago
Find the value of x in the figure
gregori [183]

Step-by-step explanation:

I hope the picture is visible

:)

7 0
2 years ago
Forty-two of the students in band own their instrument.
goldfiish [28.3K]

Answer:

112 students

Step-by-step explanation:

Let T be the total number of students in the band.

From the question,

We were told that 37.5% of the total owns their individual instruments and this amount to 42 students

The total number of students can calculated for as follows:

37.5% x T = 42

37.5/100 x T = 42

Cross multiply to express in linear form

37.5 x T = 100 x 42

Divide both side by 37.5

T = (100 x 42) /37.5

T = 112

Therefore, there are 112 students in the band

6 0
3 years ago
Absolute value of 15 ​
mixer [17]

Answer:

15

Step-by-step explanation:

The absolute value takes any value and makes it positive.

|15| = 15

8 0
3 years ago
Read 2 more answers
Other questions:
  • There were 82 jerseys in the men’s department. The number of jerseys In the kids’ department was 24 times as much as the number
    8·1 answer
  • What is the volume of a triangular pyramid that is 4ft tall and has a base area of 3 square feet
    9·1 answer
  • An iceberg has a volume of 7660 cubic feet. what is the mass of the ice (in kg) composing the iceberg
    7·1 answer
  • Two buses leave Phoenix at the same time traveling in opposite directions. One bus travels at 62mph and the other at 58mph. How
    5·1 answer
  • I need help with this math question
    12·1 answer
  • The amount of liquid shown is 6/7 of the originally in the container . How much liquid was in the container ?
    6·1 answer
  • Multiply the 2nd equation by -4. What value belongs in the green box?
    13·1 answer
  • A single die is rolled twice. Find the probability of rolling an
    11·1 answer
  • Find a formula for the nth term
    15·1 answer
  • Best answer gets brainiest. Mackenzie went to the mall with her mom. First, they spent 15 minutes in the shoe store. Then they s
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!