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otez555 [7]
3 years ago
7

Arlen is planning a dinner party at which he will be able to accommodate seven guests. From past experience, he knows that each

person invited to the party will accept his invitation with probability 0.5. He also knows that each person who accepts will actually attend with probability 0.8. Suppose that Arlen invites twelve people. Assuming that they behave independently of one another, what is the probability that he will end up with more guests than he can accommodate
Mathematics
1 answer:
Charra [1.4K]3 years ago
8 0

Answer:

"0.057309921" is the correct answer.

Step-by-step explanation:

According to the question,

The coming probability will be:

= 0.5\times 0.8

= 0.4

n = 12

p = 0.4

Now,

⇒ P(X>7)=1-P(X

Here, X = Number of guests

                    =1-binom.dist(7,12,0.4,1)

                    =0.057309921

Thus, the above is the correct answer.  

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weeeeeb [17]

Answer:

I think this is slope. So for each point you go up 3 units. All of the point should connect into a straight line.

Step-by-step explanation:

Mark Point R on the graph to its coordniates. Do the same to Point D, L and F. after you are done then go back to each point and go up 3 units/points. Then draw a line connecting the 4 points. Then you will have your answer. Hope this helped!

7 0
3 years ago
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A letter is randomly chosen from the word EXCELLENT. Write each probability as a fraction, decimal, and a percent.
Sergio [31]

Answer:

The answer is below

Step-by-step explanation:

The question is not complete. A complete question is in the form:

A letter is chosen at random from the letters of the word EXCELLENT. Find the probability that letter chosen is i) a vowel ii) a consonant.

Solution:

The total number of letters found in the word EXCELLENT = 9

i) The number of vowel letters found in the word EXCELLENT = {E, E, E} = 3

Hence, probability that letter chosen is a vowel = number of vowels / total number of letters = 3 / 9 = 1 / 3

probability that letter chosen is a vowel = 1/3 = 0.333 = 33.3%

ii) The number of consonant letters found in the word EXCELLENT = {X, C, L, L, N, T} = 6

Hence, probability that letter chosen is a consonant = number of consonant / total number of letters = 6 / 9 = 2 / 3

probability that letter chosen is a consonant = 2/3 = 0.667 = 66.7%

7 0
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Find the surface area of the pyramid
jolli1 [7]

The surface area is ≈ 451.92

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The first car consumed 21 gallons while the second car consumed 49 gallons. here is the how it's done.
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