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weeeeeb [17]
3 years ago
6

There are 16 fruits on the table. Maria has

Mathematics
1 answer:
anyanavicka [17]3 years ago
6 0
Jack has 2, Maria has 9, Paul has 5.
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Based on a​ poll, 40​% of adults believe in reincarnation. Assume that 77 adults are randomly​ selected, and find the indicated
damaskus [11]

To solve this problem, we make use of the binomial probability equation:

P = [n! / (n – r)! r!] p^r * q^(n – r)

where,

n is the total number of adult samples = 77

r is the selected number of adults who believe in reincarnation

p is the of believing in reincarnation = 40% = 0.40

q is 1 – p = 0.60

 

a. What is the probability that exactly 66 of the selected adults believe in​ reincarnation?

So we use r = 66

 

P = [77! / (77 – 66)! 66!] 0.40^66 * 0.60^(77 – 66)

P = 1.32 x 10^-16

 

b. What is the probability that all of the selected adults believe in​ reincarnation?

So we use r = 77

 

P = [77! / (77 – 77)! 77!] 0.40^77 * 0.60^(77 – 77)

P =2.28 x 10^-31

 

c.  What is the probability that at least 66 of the selected adults believe in​ reincarnation?

So we use r = 66 to 77

 

P (r=66) = 1.32 x 10^-16

P (r=67) = [77! / (77 – 67)! 67!] 0.40^67 * 0.60^(77 – 67) = 1.44 x 10^-17

P (r=68) = [77! / (77 – 68)! 68!] 0.40^68 * 0.60^(77 – 68) = 1.42 x 10^-18

P (r=69) = [77! / (77 – 69)! 69!] 0.40^69 * 0.60^(77 – 69) = 1.23 x 10^-19

P (r=70) = [77! / (77 – 70)! 70!] 0.40^70 * 0.60^(77 – 70) = 9.38 x 10^-21

P (r=71) = [77! / (77 – 71)! 71!] 0.40^71 * 0.60^(77 – 71) = 6.17 x 10^-22

P (r=72) = [77! / (77 – 72)! 72!] 0.40^72 * 0.60^(77 – 72) = 3.43 x 10^-23

P (r=73) = [77! / (77 – 73)! 73!] 0.40^73 * 0.60^(77 – 73) = 1.56 x 10^-24

P (r=74) = [77! / (77 – 74)! 74!] 0.40^74 * 0.60^(77 – 74) = 5.64 x 10^-26

P (r=75) = [77! / (77 – 75)! 75!] 0.40^75 * 0.60^(77 – 75) = 1.50 x 10^-27

P (r=76) = [77! / (77 – 76)! 76!] 0.40^76 * 0.60^(77 – 76) = 2.64 x 10^-29

P (r=77) = 2.28 x 10^-31

 

The total is the sum of all:

P(total) = 1.48 x 10^-16

 

d. If 77 adults are randomly​ selected, is 66 a significantly high number who believe in​ reincarnation?

          C.Yes​, because the probability that 66 or more of the selected adults believe in reincarnation is less than 0.05

6 0
3 years ago
Can some one help me with this question its hard :( down below ill give brainliest
vredina [299]

Answer:

C. 1

Step-by-step explanation:

I got this right on my test

7 0
3 years ago
Can you please help with 19&23? 19 says write an expression to represent the perimeter. Thanks!
Valentin [98]

the perimeter is simply the sum of all its sides.

(6a+8)+(12a)+(6a+8)+(10a-4)

34a + 16 - 4

34a + 12.

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3 years ago
PLEEEEASE HELP ME!!
mixer [17]

Answer:

umm km / nk

Step-by-step explanation:

I DONT know if this is right...…can u  plz mark me brainiest? I really need it!!!!

7 0
2 years ago
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natka813 [3]
.. i just went off of it

6 0
3 years ago
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