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Answer:

​(b), (c),​ (a)

Step-by-step explanation:

The Most area in the tails of the distribution can be ordered as :

• Student t-distribution with 5 degrees  ( b )
• Student's t-distribution with 20 degrees ( c )
• Standard Normal Distribution ( a )

T-distribution is a continuous probability distribution that is  applied when the population is small and when the population standard deviation is not given

Answer:

38 units

Step-by-step explanation:

Counting the fully filled as well as more than half filled as 1 unit, but ignoring the less than half field,

Since, there are no half filled,

Area= Number of fully filled+ Number of more than half filled

=38 units

Answer:

A. $80

B. $2100

Step-by-step explanation:

Given:

80x+2100=y

Rewrite the equation

y = 80x + 2100

Where,

y = Scott's total pay (in dollars)

x = number of copies of History is Fun he sells

2100 = fixed pay

A.

Since, x = number of copies of History is Fun he sells

If x = 0

y = 80x + 2100

= 80(0) + 2100

= 0 + 2100

= 2100

y = $2100

If x = 1

y = 80x + 2100

= 80(1) + 2100

= 80 + 2100

= 2180

y = $2180

change in Scott's total pay for each copy of History is Fun he sells = $2180 - $2100

= $80

B. What is Scott's total pay if he doesn't sell any copies of History is Fun?

That is, when x = 0

y = 80x + 2100

= 80(0) + 2100

= 0 + 2100

= 2100

y = $2100

Answer:

A) P(soft drink, hamburger, no fries) = 0.1912

B) P(fries and hamburger) = 0.3763

Step-by-step explanation:

A) Probability that the order will include a soft drink, a hamburger and no fries is;

P(soft drink, hamburger, no fries) = P(soft drink) x P(hamburger) x P(no French fries)

P(soft drink, hamburger, no fries) = 0.88 x 0.53 x (1 - 0.49) = 0.88 × 0.53 × 0.41 ≈ 0.1912

B) we are told that;

P(fries|hamburger)=0.71

Since P(fries|hamburger) = P(fries and hamburger)/P(hamburger)

Thus;

0.71 = P(fries and hamburger)/0.53

P(fries and hamburger)= 0.71 *0.53

P(fries and hamburger) = 0.3763

Final answer:

Question a's answer is 0.4488 meaning there's a 44.88% chance a customer will order a soft drink and no fries. For question b, the answer is 0.3763 meaning there's a 37.63% chance that an order will include a hamburger and fries.

Explanation:

To calculate probabilities of independent events, you simply multiply the probability of each event happening.

For question a. the probability of ordering a soft drink is given as 0.88, and the probability of ordering fries is given as 0.49. However, we want the probability of ordering a soft drink and not ordering fries, which means we need to take the complement of the fries event (1-0.49) which is 0.51. Multiply the probability of ordering a soft drink (0.88) with the probability of not ordering fries (0.51):

0.88 x 0.51 = 0.4488

Therefore the probability of a customer ordering a soft drink and no fries is 0.4488.

For question b. we are given the conditional probability that a customer will order fries given they have already ordered a hamburger, which is 0.71. To calculate the joint probability of both events (hamburger and fries), we must multiply the conditional probability by the probability of the hamburger event:

0.71 x 0.53 = 0.3763

Therefore the probability of an order including a hamburger and fries is 0.3763.

Learn more about Probability here:

brainly.com/question/22962752

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Answer:

Step 2 is incorrect.

Step-by-step explanation:

It's incorrect because I'm pretty you need to do inverse operation. To get 24 you must subtract, not add.

Answer: He will need   gallons of paint to paint the entire wall.

Step-by-step explanation:

Given : Area to paint = 142.5 square feet

Paint used to paint of the wall = gallon

Paint used to paint complete 1 wall = gallons

Paint used to paint complete 1 wall   gallons

Hence, he will need   gallons of paint to paint the entire wall.