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
Vadim26 [7]
3 years ago
10

A manufacturer produces a large number of microwaves. From past experience, the manufacturer knows that approximately 1.5% of al

l their microwaves are defective. Consumer Reports randomly selects 20 of these microwaves for testing. We want to determine the probability that no more than one of these microwaves is defective?
a) What is the probability that exactly one of the microwaves is defective?

b) What is the probability that at most two of the microwaves are defective?

c) Find the mean and standard deviation.
Mathematics
1 answer:
yawa3891 [41]3 years ago
4 0
This problem represents "binomial probability," because any given "experiment" can have only two possible outcomes:  defective or not defective.

Here the "population" probability that a given microwave unit is defective is 0.015.  We arbitrarily define "defective microwave" as a "success" and "non-defective microwave" as a "failure."

We can obtain binomial probability values from a calculator such as the TI-83, from a table or from the binomial probabilty formula.  In all of these cases the number of samples is given and is n=20; the probability of "success" is also given and is p=0.015.

Case 1:  What is the probability that exactly 1 microwave unit is defective?
Using the TI-83:     binompdf(20,0.015,1) = 0.225, or 9/40.  

Case 2:  What is the p. that at most 2 are defective?  Add together the binomial probabilities binompdf(20,0.015,0),binompdf(20,0.015,1),binompdf(20,0.015,2).

Result:  0.7391 + 0.2250 + 0.0326 = 0.9967.

Mean:  The mean of a binomial probability such as this one is simply np, which in his case is 20(0.015)=0.30.  Find and apply the formula for the standard deviation.
You might be interested in
Which sets of points are collinear?
schepotkina [342]
A set of points is collinear if the points lie on the same straight line.

From the given figure,
A) Z, J, and C are not collinear
B) H, B, and C are collinear
C) H, B, and K are not collinear
D) Z, K, and R are collinear

Answer: B and D 

5 0
3 years ago
Read 2 more answers
Can someone help me? I am stuck on this question I would mean the world if u helped me! and tysm for the people who helped me!
Sedbober [7]
$0.79 for each pen :)
7 0
2 years ago
Someone give me the answers to these please
GarryVolchara [31]

Answer:

ITs blury

Step-by-step explanation:

7 0
3 years ago
What is done wrong in this question please answer it ASAP!!! i need to submit in 30 min
Shkiper50 [21]

Answer:

dividing by a fraction is multiplying by the reciprocal.

This example swaps the left hand in stead of the right hand.

Step-by-step explanation:

So the correct approach would have been:

6 \times \frac32

\frac{18}{2} = 9

6 0
2 years ago
I need this answered ASAP, thank you!
horsena [70]

Answer:

Part A

16y = 7x + 101

Part B

3y = 5x + 30

Part C

y = -5x/3

Part D

x = -3

8 0
3 years ago
Other questions:
  • Is this equation a monomial, binomial or a trinomial.
    14·1 answer
  • Cam is a corrupt politician. Nobody votes for him except those he pays to do so. It costs Cam exactly \$100$100dollar sign, 100
    12·1 answer
  • What did you analyze after watching the vampire diaries?
    9·2 answers
  • Eighteen percent of apples grown in an orchard have defects. Let X = the number of apples that are randomly inspected from the o
    5·1 answer
  • Line M passes through the points (–5, 9) and (–1, 9). A coordinate plane. Which is true of line M? Line M is a vertical line wit
    15·2 answers
  • Which numer is more? -74 or 66?
    8·2 answers
  • At Chick-Fil-A, two chicken sandwiches and three orders of fries cost $14.80. The cost for three chicken sandwiches and five ord
    9·1 answer
  • What is the angle of elevation of the sun when a 42 foot mast casts a 16 foot shadow?
    7·1 answer
  • Help what is the surface area of each shape?
    6·1 answer
  • Determine the slope of the line passing through the points (5,6) and (-5,-1)m=____
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!