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4 years ago

7

Help me with this ASAP PLEASE!!!❤️

1 answer:

DaniilM [7]4 years ago

7 0

The third one its already in order

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A group of three undergraduate and five graduate students are available to fill certain student government posts. If four studen

creativ13 [48]

Answer:

$Pr = 0.4286$

Step-by-step explanation:

Given

Let

$U \to\\$ Undergraduates

$G \to$ Graduates

So, we have:

$U = 3; G =5$ -- Total students

$r = 4$ --- students to select

Required

$P(U =2)$

From the question, we understand that 2 undergraduates are to be selected; This means that 2 graduates are to be selected.

First, we calculate the total possible selection (using combination)

$^nC_r = \frac{n!}{(n-r)!r!}$

So, we have:

$Total = ^{U + G}C_r$

$Total = ^{3 + 5}C_4$

$Total = ^8C_4$

$Total = \frac{8!}{(8-4)!4!}$

$Total = \frac{8!}{4!4!}$

Using a calculator, we have:

$Total = 70$

The number of ways of selecting 2 from 3 undergraduates is:

$U = ^3C_2$

$U = \frac{3!}{(3-2)!2!}$

$U = \frac{3!}{1!2!}$

$U = 3$

The number of ways of selecting 2 from 5 graduates is:

$G = ^5C_2$

$G = \frac{5!}{(5-2)!2!}$

$G = \frac{5!}{3!2!}$

$G =10$

So, the probability is:

$Pr = \frac{G * U}{Total}$

$Pr = \frac{10*3}{70}$

$Pr = \frac{30}{70}$

$Pr = 0.4286$

5 0

2 years ago

Simplify this problem!!!

Nonamiya [84]

Answer:

C

Step-by-step explanation:

HOPE THAT HELPSBDNQBDB

4 0

2 years ago

Read 2 more answers

A biased coin has a probability of 0.4 of coming up heads. What is the probability that when flipped one hundred times it comes

inn [45]

Using the binomial probability relation ; the probability that an head is obtained at least 50 times is 0.0271

<u>Using the binomial probability relation</u> :

P(x = x) = nCx * p^x * q^(n-x)
p = probability of success = 0.4
q = 1 - p = 0.6
n = number of trials = 100

P(x ≥ 50) = p(x = 50) + p(x = 51) + ...+ p(x = 100)

<u>Using a binomial probability calculator</u> :

P(x ≥ 100) = 0.0271

Therefore, the probability that atleast 50 heads are obtained in the trial is 0.0271

Learn more :brainly.com/question/12474772

5 0

3 years ago

Base:9.44 area=70.8 WHAT IS THE HIEGHT

Harlamova29_29 [7]

Divide

a = b * h
we know the base and area, not height

h = a/b
h = 70.8/9.44
h = 7.5

Your height is 7.5 units

6 0

3 years ago

Using a calculator and the formula above, calculate the APR. Choose the correct answer.

GarryVolchara [31]

APR=(1+r/12)^(12)-1
APR=(1+0.16÷12)^(12)−1
APR=0.172×100
APR=17.2%

7 0

3 years ago