Help me ASAP for this question

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

2 years ago

Nathan has a collection of 220 baseball cards. He lets his brother 1/4 of his collection and sells 20% of his collection to the

tatyana61 [14]

<u>Answer:</u>

The baseball cards remain in Nathan’s collection is 106 cards

<u>Explanation:</u>

Total number of cards Nathan has= 220

Number of cards he let his brother have = 1/4 of his collection

= $\frac{1}{4} \times 220$ = 55 cards

Number of cards he sells = 20% of his collection

= $\frac{20}{100} \times 220$

=44 cards

No of cards he gives to his friends=15 cards

Remaining cards = total number of cards – (no of cards he gave to his brother+ cards he sold+ cards he gave to this friends)

= 220 – ( 55+44+15)

=220-114

=106 cards

baseball cards remain in Nathan’s collection is 106 cards

4 0

2 years ago

It took Fran 1.8 hours to drive to her mother's house on Saturday morning. On her return trip on Sunday night, traffic was he

cupoosta [38]

Answer:

54 mph

Step-by-step explanation:

Let s represent the slower speed. The product of speed and time is distance, which did not change between the two trips. So, we have ...

1.8(s +6) = 2(s)

10.8 = 0.2s . . . . eliminate parentheses, subtract 1.8s

54 = s . . . . . . . . divide by 0.2

Fran's average speed on Sunday was 54 miles per hour.

____

Her trip was 108 miles long.

7 0

3 years ago

Does a shape with a right angle always have perpendicular sides? Explain

Aleks [24]

Answer:

Yes

Step-by-step explanation:

A right angle means that the lines will create an L or X or T when they intersect. This is exactly the definition of perpendicular, that the shapes will intersect and create at least one right angle.

3 0

2 years ago

Read 2 more answers

A serving of raisin bread has 3 grams of fat and 150 calories. What percent of calories are from fat? Remember, there are 9 calo

Sergio039 [100]

Well, that means there are 3*9=27 cals from fat. 27/150=18% of calories.

8 0

3 years ago