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
faltersainse [42]
3 years ago
8

A candy company claims that 20% of the candies in its bags are colored green. Steve buys 30 bags of 30 candies, randomly selects

one candy from each, and counts the number of green candies. If there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct. What is the probability of Steve agreeing with the company’s claim? Use a TI-83, TI-83 plus, or TI-84 calculator to find the probability.
Mathematics
1 answer:
Allisa [31]3 years ago
7 0

Answer:

The probability of Steve agreeing with the company’s claim is 0.50502.

Step-by-step explanation:

Let <em>X</em> denote the number of green candies.

The probability of green candies is, <em>p</em> = 0.20.

Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies.

So, <em>n</em> = 30 candies are randomly selected.

All the candies are independent of each other.

The random variable <em>X</em> follows a binomial distribution with parameter <em>n</em> = 30 and <em>p</em> = 0.20.

It is provided that if there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct.

Compute the probability of 5, 6 and 7 green candies as follows:

P(X=5)={30\choose 5}(0.20)^{5}(1-0.20)^{30-5}=0.17228\\\\P(X=6)={30\choose 6}(0.20)^{6}(1-0.20)^{30-6}=0.17946\\\\P(X=7)={30\choose 7}(0.20)^{7}(1-0.20)^{30-7}=0.15328

Then the probability of Steve agreeing with the company’s claim is:

P (Accepting the claim) = P (X = 5) + P (X = 6) + P (X = 7)

                                       = 0.17228 + 0.17946 + 0.15328

                                       = 0.50502

Thus, the probability of Steve agreeing with the company’s claim is 0.50502.

You might be interested in
Select the correct answer from each drop-down menu.
sdas [7]

Answer:

see below

Step-by-step explanation:

12 banana muffins, 10 chocolate muffins, 6 blueberry muffins, and 7 vanilla muffins.

The total number of muffins is 35 muffins

P(vanilla) = number of vanilla/ total

               = 7/35

               = 1/5

This is not likely to occur so it is an unlikely event

3 0
3 years ago
Read 2 more answers
Broccoli cost $1.50 per pound at the store.How much money does 32 ounces of broccoli cost
balandron [24]
Hope this will help u

8 0
3 years ago
Which fractions are equivalent to 2/3
Ivenika [448]

Answer:

4/6 and 8/12 and 16/24

Step-by-step explanation:

well because it is math and math works like this basically all of theese are equal to 2/3

5 0
3 years ago
Analyze the diagram below and complete the instructions that follow.
Semmy [17]
B. All sides are equal and each side is at a 60 degree angle.
8 0
3 years ago
Select the correct answer.
Alecsey [184]
C. all real numbers
7 0
3 years ago
Other questions:
  • Sammy is conducting a science experiment were he has to mix 8. 25 ounces and 430 ounces of lemon juice. How many ounces will he
    6·1 answer
  • If x-15=14 then what is x ?<br> I need this answered ASAP thanks a lot :)
    12·1 answer
  • How do I use 3 7 12 2= 51
    6·1 answer
  • 12 decreased by 8 times a number is 36
    6·1 answer
  • Identify the pair of angles shown in the figure. answers A. LINEAR PAIR B. COMPLEMENTARY C. CONGRUENT D. VERTICAL
    13·2 answers
  • Please help! quick! Thanks!
    8·2 answers
  • The balance of a shop owner’s bank account is
    15·2 answers
  • HELP ME PLEASE BRAINLIEST ANSWER
    10·1 answer
  • A reasonable estimate for 621 times 29 is
    13·1 answer
  • Suppose a car is initially worth $20,000, and suppose that after one year, the car is now worth $18,673. Write an exponential fu
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!