Please help. I need help with B.

enyata [817]

Because it when graphed it passes vertical line test

6 0

3 years ago

A particular brand of dishwasher soap is sold in three sizes: 25 oz, 45 oz, and 60 oz. Twenty percent of all purchasers select a

Verdich [7]

Answer:

(a) Sampling distribution

P(25) = 0,04

P(35) = 0.1 + 0.1 = 0,2

P(42,5) = 0.06 + 0.06 = 0,12

P(45) = 0,25

P(52,5) = 0.15 + 0.15 = 0,3

P(60) = 0,09

(b) E(X) = 45.5 oz

(c) E(X) = μ

Step-by-step explanation:

The variable we want to compute is

$X=(X1+X2)/2$

For this we need to know all the possible combinations of X1 and X2 and the probability associated with them.

(a) Sampling distribution

Calculating all the 9 combinations (3 repeated, so we end up with 6 unique combinations):

P(25) = P(X1=25) * P(X2=25) = p25*p25 = 0.2 * 0.2 = 0,04

P(35) = p25*p45+p45*p25 = 0.2*0.5 + 0.5*0.2 = 0.1 + 0.1 = 0,2

P(42,5) = p25*p60 + p60*p25 = 0.2*0.3 + 0.3*0.2 = 0.06 + 0.06 = 0,12

P(45) = p45*p45 = 0.5 * 0.5 = 0,25

P(52,5) = p45*p60 + p60*p45 = 0.5*0.3 + 0.3*0.5 = 0.15 + 0.15 = 0,3

P(60) = p60*p60 = 0.3*0.3 = 0,09

(b) Using the sample distribution, E(X) can be expressed as:

$E(X)=\sum_{i=1}^{6}P_{i}*X_{i}\\E(X)=0.04*25+0.2*35+0.12*42.5+0.3*52.5+0.09*60 = 45.5$

The value of E(X) is 45.5 oz.

(c) The value of μ can be calculated as

$\mu=\sum_{i=1}^{3}P_{i}*X_{i}\\\mu=0.2*25+0.5*45+0.3*60=45.5$

We can conclude that E(X)=μ

We could have arrived to this conclusion by applying

$E(X)=E((X1+X2)/2)=E(X1)/2+E(X2)/2\\\\\mu = E(X1)=E(X2)\\\\E(X)=\mu /2+ \mu /2 = \mu$

4 0

4 years ago

Question 7 Which is the quotient of 1/5 divided by 3??

blondinia [14]

Answer:

1/5 divided by 3 =1/15 because when dividing a fraction by a whole number, it is gonna end as a fraction so the answer is 1/15. All you do is just multiply the denominator times the whole number and you will get your answer. Have a nice day! If this helped then please mark as brainliest.

6 0

3 years ago

Chris has 4.05 pounds of cat food. He uses 0.27 pound of cat food to feed one cat. How many cats can Chris feed with the cat foo

Tanya [424]

0.27x=4.05
divide both sides by 0.27
x=15 cats

7 0

3 years ago

Read 2 more answers

Determine which of the following graphs is the graph of 8x + 9y - 72.

Fittoniya [83]

Step-by-step explanation:

To figure out your x-intercepts and y-intercepts you have to redo the equation and make it equal to zero.