8) Solve: X + 250 = 700

The probability that a grader will make a marking error on any particular question of a multiple-choice exam is 0.15. If there a

sashaice [31]

Answer:

$P(X=0)=(10C10)(0.15)^{0} (1-0.15)^{10-0}=0.1969$

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

$P(X=0)=(nCn)(p)^{0} (1-p)^{n-0}=(1-p)^n$

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

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

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".

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:

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

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: $P(A)+P(A') =1$

Solution to the problem

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

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

what is the probability that no errors are made?

For this case means that all the questions were correct so we want this probability:

$P(X=0)=(10C10)(0.15)^{0} (1-0.15)^{10-0}=0.1969$

what is the probability that at least one error made?

For this case we want this probability:

$P(X \geq 1)$

And we can use the complement rule:

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

If there are n questions and the probability of a marking error is p rather than 0.15, give expressions for the probabilities of no errors and at least one error

$P(X=0)=(nCn)(p)^{0} (1-p)^{n-0}=(1-p)^n$

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

8 0

3 years ago

The answer for this math problem

laiz [17]

Hi, We have a isosceles triangle.

Then,

There is two angles = (2x +2)°

As the sum of angles = 180° To the any triangle.

Then we wiil stay with:

(2x+2)° + (2x+2)° +(3x+1)° = 180°

Canceling °

2x+2+2x+2+3x+1=180

7x +5 = 180

7x = 180-5

7x = 175

Passing 7 dividing 175

x = 175/7

x = 25

This would be your answer!

7 0

2 years ago

12b−15>21?? How is this done? Need help ASAP

dangina [55]

12b-15>21
+15 +15

12b > 36
----- ----
12 12

b = 3

3 0

3 years ago

Read 2 more answers

This keeps on confusing me. Please explain it to me.

9966 [12]

Answer:

x=-10

Step-by-step explanation:

the picture is showing

1+1= -1 + -1 + -1 + -1 + -1 + -1 + -1 + -1 + -x

simplified its:

2= -8 + -x

I think that the answer is x=-10 cuz if u did -8 - -10 then the two negatives make a positive and it makes 2 but idk if the minus sign before the x means minus or negative so this might be the answer but dont blame me if im wrong. I warned you. If its right plz write that.

4 0

3 years ago

Terrell wants to Drive his car at a speed of 50 miles per hour for 2.75 hours. His car has a fuel efficiency of 25 miles per gal

Oduvanchick [21]

HI there! To find the number of gallons he needs for travel, the first step we need to do is find the number of miles he'll travel, by multiplying speed by time. 50 * 2.75 is 137.5. Terrell will travel 137.5 miles in 2.75 hours. There are 25 miles in a gallon. Now, let's divide the number by 25 to get the number of gallons. 137.5 / 25 = 5.5. There. Terrell will need 5.5 gallons of gas for his journey.

5 0

3 years ago

Read 2 more answers