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geniusboy [140]

3 years ago

10

Exercise #4: Each of the following fractions can be converted to a whole number using division.

1 answer:

solong [7]3 years ago

6 0

A) 6 because 12 divided by 2 is 6

B) 9 because 45 divided by 5 is 9

C) 23 because 207 divided by 9 is 23

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According to a 2013 study by the Pew Research Center, 15% of adults in the United States do not use the Internet (Pew Research C

Ivahew [28]

Answer:

a) $P(X=0)=(10C0) (0.15)^0 (1-0.15)^{10-0}= 0.1969$

b) $P(X=3)=(10C3) (0.15)^3 (1-0.15)^{10-3}= 0.1298$

c) $P(X \geq 1) = 1- P(X$

$P(X=0)=(10C0) (0.15)^0 (1-0.15)^{10-0}= 0.1969$

So then we have:

$P(X \geq 1) = 1- P(X$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=10, p=0.15)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Part a

For this case we want this probability:

$P(X=0)=(10C0) (0.15)^0 (1-0.15)^{10-0}= 0.1969$

Part b

For this case we want this probability:

$P(X=3)$

And using the probability mass function we got:

$P(X=3)=(10C3) (0.15)^3 (1-0.15)^{10-3}= 0.1298$

Part c

For this case we want this probability:

$P(X \geq 1)$

And we can use the complenet rule and we got:

$P(X \geq 1) = 1- P(X$

$P(X=0)=(10C0) (0.15)^0 (1-0.15)^{10-0}= 0.1969$

So then we have:

$P(X \geq 1) = 1- P(X$

3 0

3 years ago

Mia earned $6 by selling 2 cups of lemonade how much money will mia earn after selling 4 cups

k0ka [10]

Answer:

24

Step-by-step explanation:

times 6 by 4 and you get 24

4 0

3 years ago

Read 2 more answers

Four-fifths of a number<br> decreased by eight is four.<br> Find the number.

Norma-Jean [14]

4/5x-8 = 4
4/5x = 12
X = 15

8 0

4 years ago

Read 2 more answers

Arrange in ascending order: 12.4654, 784.7068, 295.6097, 267.0918, 156.6100

coldgirl [10]

Step-by-step explanation:

arranging in ascending order is simply arranging from the smallest to the largest.

12.4654,156.6100,267.0918,295.6097,784.7068

I hope this helps

7 0

3 years ago

Because of the commutative property of multiplication 3/4X4=4X3/4 However these expressions can be calculated in different ways

elena55 [62]

Answer:

We obtain same product by both the methods.

Step-by-step explanation:

We are given the following in the question:

Commutative property of multiplication:

$\dfrac{3}{4}\times 4 =4\times \dfrac{3}{4}$

Different ways to find the product:

1. First way

$\dfrac{3}{4}\times 4\\\\=3\times \dfrac{4}{4}\\\\=3$

2. Second way

$\dfrac{3}{4}\times 4\\\\=\dfrac{12}{4}\\\\=3$

We get the same product for both the calculations.

5 0

3 years ago