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3 years ago

7

Please answer this question !! Will give brainliest to the best answer and 30 points !!

1 answer:

tamaranim1 [39]3 years ago

8 0

$5$

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The King, Queen and Jack of clubs are removed from a pack of 52 cards and then the remaining cards are well shuffled. A card is

Ainat [17]

Answer:

(i) 13/49, (ii) 1/49, (iii) 10/49, (iv) 3/49

Step-by-step explanation:

52-3=49

you have 49 cards now (no K, Q, or J of clubs)

8 0

3 years ago

At Ersatz University, the graduating class of 480 includes 96 guest students from Latvia. A sample of 10 students is selected at

grandymaker [24]

Answer:

A).3222

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are from Latvia, or they are not. We are choosing students without replacement. However, since the sample size is large, we can use the binomial distribution to approximate the hypergeometric distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

480 students, of which 96 are from Latvia:

This means that $p = \frac{96}{480} = 0.2$

Sample of 10 students:

This means that $n = 10$

Probability that the sample contains at least three Latvian students.

Either there are less than three students from Latvia, or there are at least three. The sum of the probabilities of these events is 1. So

$P(X < 3) + P(X \geq 3) = 1$

We want $P(X \geq 3) = 1 - P(X < 3)$ , in which:

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074$

$P(X = 1) = C_{10,1}.(0.2)^{1}.(0.8)^{9} = 0.2684$

$P(X = 2) = C_{10,2}.(0.2)^{2}.(0.8)^{8} = 0.3020$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1074 + 0.2648 + 0.3020 = 0.6742$

So

$P(X \geq 3) = 1 - P(X < 3) = 1 - 0.6742 = 0.3258$

The closest option is A.

4 0

3 years ago

What is the reciprocal of 9/11

SVETLANKA909090 [29]

The reciprocal is the flipped value so it will be11/9

7 0

3 years ago

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Parallel lines e and f are cut by transversal b.

Lunna [17]

Answer:

Its C

Step-by-step explanation:

Just took the test and found out it's not infact 5, but it's 25

8 0

3 years ago

Read 2 more answers

Use the rules for long division to divide 262 by 9.

Pani-rosa [81]

The answer for this problem is b

4 0

3 years ago