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16 days ago

You’ve bought a half-dozen (six) eggs from the store but you forgot to check them first! The probability that no eggs are broken

is 0.4. Otherwise, any number of broken eggs is equally probable. Define the random variable X = the number of broken eggs.
(a) Write out the pmf of X.
(b) Compute the probability that an even number of eggs is broken.

(c) Compute the expectation and variance of X.

Mathematics

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it’s $295.47 that’s everything

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3 months ago

After Mia gave 1/4 of her milk to Dante, Dante had twice the amount of milk as Mia. What was the ratio of the amount of milk Mia

tester [12383]

Answer:

4:5

Step-by-step explanation:

Start with the equation:

2(3/4m)=D+1/4m

Then, simplify to solve:

5/4m=D

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3 months ago

Read 2 more answers

A grocery store receives deliveries of corn from two farms, one in Iowa and the other in Ohio. Both farms produce ears of corn w

Zina [12379]

Answer:

The number of standard deviations above the mean is $z_o = 1.4607$

Step-by-step explanation:

The question indicates that:

The average weight of the corn ears from each farm is $\mu=1.26$

The standard deviation for the corn ears from Iowa is $\sigma_1$

The standard deviation for the corn ears from Ohio is

$\sigma_2= 0.01 + \sigma_1$

A randomly chosen ear of corn from Iowa weighs x = 1.39 pounds

The standardized score is z = 1.645

The weight of a randomly chosen ear of corn from Ohio measures $x_1 = 1.39\ pound$

In general, the standardized score of corn weight from Iowa can be mathematically defined as:

$z = \frac{ 1.39 - 1.26 }{\sigma_1 }$

=> $1.645 = \frac{ 1.39 - 1.26 }{\sigma_1 }$

=> $\sigma_1 = \frac{ 1.39 - 1.26 }{ 1.64 5}$

=> $\sigma_1 = 0.0790$

Conversely, the standardized score of corn weight from Ohio is expressed as:

$z_o = \frac{ 1.39 - 1.26 }{\sigma_2 }$

=> $z_o= \frac{ 1.39 - 1.26 }{0.01 + \sigma_1 }$

=> $z_o = \frac{ 1.39 - 1.26 }{ 0.089}$

=> $z_o = 1.4607$

A positive value indicates this quantity represents the number of standard deviations above the mean.

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4 months ago

Martin is cleaning all the rooms in his house. There are 4 rooms left to clean, and he takes 7 hours to clean them. Write the eq

Inessa [12570]

Consequently, the equation determining the remaining number of rooms Martin has to clean after hours can be represented as:

$y=-\frac{4}{7}x+b$

, in which $b$ indicates the overall number of rooms. Step-by-step explanation: It is given that Martin has 4 rooms left to clean and takes 7 hours for the task. The equation in standard form for the number of rooms remaining after x hours, y, is set up as follows: The remaining rooms $y$ , indicates the quantity after $x$ hours. The cleaning rate is established as follows: Considering Martin cleans 4 rooms in 7 hours, the rate at which he cleans is given by: Hence, the equation can be expressed as

$y=-\frac{4}{7}x+b$ (Answer)

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2 months ago