Mathematics, 05.08.2020 02:01 maualca

Based on a poll, 40% of adults believe in reincarnation. Assume that 4 adults are randomly selected, and find the indicated probability. Complete parts (a) through (d) below. Required:a. The probability that exactly 3 of the 4 adults believe in reincarnation is? b. The probability that all of the selected adults believe in reincarnation is? c. The probability that at least 3 of the selected adults believe in reincarnation is? d. If 4 adults are randomlyselected, is 3 a significantly high number who believe inreincarnation?

Answers: 2

Show answers

Answers

Answer from: Jmarie08

Complete Question

The complete question is shown on the first uploaded image

P(3) = 0.154

P(4) = 0.026

$P( X \ge 3 ) = 0.18$

option C is correct

Step-by-step explanation:

From the question we are told that

The probability of success is p = 0.4

The sample size is n= 4

This adults believe follow a binomial distribution is because there are only two outcome one is an adult believes in reincarnation and the second an adult does not believe in reincarnation

The probability of failure is mathematically evaluated as

q = 1 - p

substituting values

q = 1 - 0.4

q = 0.6

Considering a

The probability that exactly 3 of the selected adults believe in reincarnation is mathematically represented as

$P(3) = \left n} \atop {}} \right. C_ 3 * p^3 * q^{n-3}$

substituting values

$P(3) = \left 4} \atop {}} \right. C_ 3 * (0.40)^3 * (0.60)^{4-3}$

Here $\left 4} \atop {}} \right.C_3$ means 4 combination 3 . i have calculated this using a calculator and the value is

$\left 4} \atop {}} \right.C_3 = 4$

P(3) = 4* (0.4)^3 * (0.6)

P(3) = 0.154

Considering b

The probability that all of the selected adults believe in reincarnation is mathematically represented as

$P(n) = \left n} \atop {}} \right. C_ n * p^n * q^{n-n}$

substituting values

$P(4) = \left 4} \atop {}} \right. C_ 4 * (0.40)^4 * (0.60)^{4-4}$

Here $\left 4} \atop {}} \right.C_3$ means 4 combination . i have calculated this using a calculator and the value is $\left 4} \atop {}} \right.C_4 = 1$

P(4) = 1* (0.4)^4 * 1

=> P(4) = 0.026

Considering c

the probability that at least 3 of the selected adults believe in reincarnation is mathematically represented as

$P( X \ge 3 ) = P(3 ) + P(n )$

substituting values

$P( X \ge 3 ) = 0.154 + 0.026$

$P( X \ge 3 ) = 0.18$

From the calculation the probability that all the 4 randomly selected persons believe in reincarnation is p(4) = 0.026 < 0.05

But the the probability of 3 out of the 4 randomly selected person believing in reincarnation is $P(3) = 0.154 \ which \ is \ 0.05$

Hence 3 is not a significantly high number of adults who believe in reincarnation because the probability that 3 or more of the selected adults believe in reincarnation is greater than 0.05.

Based on a poll, 40% of adults believe in reincarnation. Assume that 4 adults are randomly select

Answer from: Quest

Something that is true about that is that it has numbers

Answer from: Quest

Idon’t know this and this isn’t middle school work
Find the mean absolute deviation for all of them plz will mark brainiest and will give 40 points la

Find the mean absolute deviation for all of them plz will mark brainiest and will give 40 points la

Another question on Mathematics

Mathematics, 21.06.2019 15:20

Which is the equation of an ellipse with directrices at x = ±4 and foci at (2, 0) and (−2, 0)?

Answers: 3

Answer

Mathematics, 21.06.2019 18:30

For each polynomial, determine the degree and write the polynomial in descending order. a. –4x^2 – 12 + 11x^4 b. 2x^5 + 14 – 3x^4 + 7x + 3x^3

Answers: 2

Answer

Mathematics, 21.06.2019 19:00

Acomputer store bought a program at a cost of $10 and sold it for $13. find the percent markup

Answers: 1

Answer

Mathematics, 21.06.2019 21:40

Many newspapers carry a certain puzzle in which the reader must unscramble letters to form words. how many ways can the letters of emdangl be arranged? identify the correct unscrambling, then determine the probability of getting that result by randomly selecting one arrangement of the given letters.

Answers: 1

Answer

You know the right answer?

Based on a poll, 40% of adults believe in reincarnation. Assume that 4 adults are randomly selected,...

Questions