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Otrada [13]
3 years ago
13

Q and R are independent events. if P(Q)= 1/4 and P (R)= 1/5, find P(Q and R)

Mathematics
1 answer:
Setler79 [48]3 years ago
3 0

Answer:

1/4 * 1/5 = 1/20

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Google it.  ('>')...................................................

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What are corresponding angles<br>​
Ratling [72]

Answer:

Corresponding angles are equal. They're a F shape and it could be upside down.

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2 years ago
The augmented matrix of a consistent system of five equa- tions in seven unknowns has rank equal to three. How many parameters a
dangina [55]

Answer:

It is necessary four parameters.

Step-by-step explanation:

Since the augmented matrix of the consistent system has rank equal to three then the number of free variables is (number of unknows)-rank then there are 7-3=4 free variables. This means that are necessary four parameter to specify all solutions.

5 0
3 years ago
Suppose that 37% of college students own cats. If you were to ask random college students if they own a cat what would the proba
Likurg_2 [28]

Using the binomial distribution, the probabilities are given as follows:

a) 0.37 = 37%.

b) 0.5065 = 50.65%.

c) 0.3260 = 32.60%.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

For this problem, the fixed parameter is:

p = 0.37.

Item a:

The probability is P(X = 1) when n = 1, hence:

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

P(X = 1) = C_{1,1}.(0.37)^{1}.(0.63)^{0} = 0.37

Item b:

The probability is P(X = 3) when n = 3, hence:

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

P(X = 3) = C_{3,3}.(0.37)^{3}.(0.63)^{0} = 0.5065

Item c:

The probability is P(X = 2) when n = 4, hence:

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

P(X = 2) = C_{4,2}.(0.37)^{2}.(0.63)^{2} = 0.3260

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

4 0
2 years ago
A yearbook company was investigating whether there is a significant difference between two states in the percents of high school
Keith_Richards [23]

Answer: D. two-sample z-test for a difference in population proportions

Step-by-step explanation:

The options for the given questions were missing. The options are as follows:

A one-sample z-test for a sample proportion

B one-sample z-test for a population proportion

A

C two-sample z-test for a difference in sample proportions

D two-sample z-test for a difference in population proportions

Solution:

Sample proportions are used to estimate population proportions.

We are given the sample proportion of students from one state who ordered a yearbook = 70/150

We are also given the sample proportion of students from the other state who ordered a yearbook = 65/100

Since there are 2 samples and we want to investigate if there is a difference between 2 population of students,

Therefore, the most appropriate method for analyzing the results is

D. two-sample z-test for a difference in population proportions

8 0
3 years ago
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