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
Sphinxa [80]
3 years ago
9

As part of a promotion for a new type of cracker, free trial samples are offered to shoppers in a local supermarket. The probabi

lity that a shopper will buy a packet of crackers after tasting the free sample is 0.200. Different shoppers can be regarded as independent trials. If X is the number among the next 100 shoppers who buy a packet of the crackers after tasting a free sample, then the probability that fewer than 30 buy a packet after tasting a free sample is approximately (Use Normal approximation to solve the problem, if its conditions are met.)
A. 0.2000
B. 0.9938
C. None of the answers are correct.
Mathematics
1 answer:
Veronika [31]3 years ago
6 0

Answer:

The probability that fewer than 30 buy a packet after tasting a free sample is approximately

B. 0.9938

Step-by-step explanation:

We have

p = 0.2

q = 1 - 0.2 = 0.8

n = 100

and we need to compute P(X<30). First we need to check if normal distribution can be used or not. If np>5 then we can use normal distribution to solve this problem.

np = 100*0.2 = 20 > 5.

So we can use the normal approximation to solve this problem.

μ = np = 20

σ = √(npq)

  = √(100)(0.2)(0.8)

σ = 4

We know that z = (X - μ)/σ, So

P(X<30) = P[(X-μ)/σ < (30 - μ)/σ]

              = P(z<(30-20)/4)

              = P(z < 10/4)

              = P (z<2.5)

Using the normal distribution probability table, we get:

P(z<2.5) = 0.9938

<u>So, the correct option is </u><u>B. 0.9938</u>

You might be interested in
Please help me hurry!! 3
marysya [2.9K]

Answer:

It is -1

Step-by-step explanation:

6 0
3 years ago
What is the sign of 39 11/13 + -41 1/13
Radda [10]

Answer:

-1.23076923077

Step-by-step explanation:

7 0
3 years ago
Write the ratio of the first measurement to the second measurement. Compare in millimeters.
larisa86 [58]

Answer:

8:19

Step-by-step explanation:

Ball B:  diameter in mm = 9.5 * 10 = 95 mm

Ratio of Ball A to Ball B = 40 : 95

=  8:19 answer

5 0
3 years ago
Read 2 more answers
What is greater than 0.8 or 0.08
sertanlavr [38]
.8 it represents .80 cents. rather than .08 which would represent 8 pennies
8 0
3 years ago
Read 2 more answers
6.The curved surface area of a cylinder is 216π. If its height is 18cm,then what will
DIA [1.3K]

Answer:

r≈4.75

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • At 8:00 AM the temperature in colorado was -21F by 9:00 AM the temperature was 6F.what is the difference in the temperature betw
    12·1 answer
  • Need help on this pleaseeeeee!
    6·1 answer
  • A washer and a dryer cost $600 combined. The cost of the washer is three times the cost of the dryer. What is the cost of the dr
    5·2 answers
  • 6th grade math If Bob has 14,023 memes and each meme gains a profit of $3 how much money will Bob get if he posts all his memes?
    11·2 answers
  • What is r - 9 for r= 20
    9·2 answers
  • 3x + 4 = 5x - 12; x = 8 true or false?
    14·2 answers
  • Will and John sell lemonade at a lemonade stand. After an hour, they have taken in $4 for a total of 8 cups of lemonade. What is
    8·1 answer
  • 250 gramı 3.75 TL olan peynirin 1 kilogramı kaç liradır?​
    5·1 answer
  • A jar is filled with buttons of various colors. If the jar has a total of 200 buttons and 70% are green, how many green buttons
    12·1 answer
  • The height of five soldiers included 60inches,67inches,65inches and 64inches,if the mean of the five soldiers is 65inches what i
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!