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e-lub [12.9K]
2 years ago
14

Consider the following. (Assume that the coins are distinguishable and that what is observed are the faces or numbers that face

up.) Three coins are tossed; the result is at most one tail. What sets of elements are included in the sample space?
Mathematics
1 answer:
Nataliya [291]2 years ago
7 0

Answer:

a)  P(

b)  n=(HHH, HHT, HTH, HTT, THH, THT, TTH, TTT).

Step-by-step explanation:

From the question we are told that:

3 coin are tossed

Therefore

Sample space n=(HHH, HHT, HTH, HTT, THH, THT, TTH, TTT).

Generally the sets that correspond with the result of at most one tail is therefore given as follows

P(

Therefore

The result is at most one tail when

P(

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Can someone solve this? No guessing! Explain very well! Make sure the answer is right!
DedPeter [7]
In the survey, 9 said they prefer the coffee shop next door out of 45 people total surveyed. This forms the fraction 9/45 = 1/5 which converts to 0.2 when you use a calculator or long division. In other words, 1/5 = 0.2

You'll then multiply the result of 0.2 by the total number of employees (250) to get...

0.2*250 = 50

So based on the results of the survey, we expect about 50 employees to say they prefer the coffee shop next door.

Answer: Choice B) 50
4 0
3 years ago
What is this expression in simplified form?
lesantik [10]
I don’t see the picture to help you
5 0
2 years ago
16. A telemarketer makes six phone calls per hour and is able to make a sale on 30% of these contacts. During the next two hours
Reika [66]

Answer:

a) 23.11% probability of making exactly four sales.

b) 1.38% probability of making no sales.

c) 16.78% probability of making exactly two sales.

d) The mean number of sales in the two-hour period is 3.6.

Step-by-step explanation:

For each phone call, there are only two possible outcomes. Either a sale is made, or it is not. The probability of a sale being made in a call is independent from other calls. So we use the binomial probability distribution to solve this question.

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.

A telemarketer makes six phone calls per hour and is able to make a sale on 30% of these contacts. During the next two hours, find:

Six calls per hour, 2 hours. So

n = 2*6 = 12

Sale on 30% of these calls, so p = 0.3

a. The probability of making exactly four sales.

This is P(X = 4).

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

P(X = 4) = C_{12,4}.(0.3)^{4}.(0.7)^{8} = 0.2311

23.11% probability of making exactly four sales.

b. The probability of making no sales.

This is P(X = 0).

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

P(X = 0) = C_{12,0}.(0.3)^{0}.(0.7)^{12} = 0.0138

1.38% probability of making no sales.

c. The probability of making exactly two sales.

This is P(X = 2).

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

P(X = 2) = C_{12,2}.(0.3)^{2}.(0.7)^{10} = 0.1678

16.78% probability of making exactly two sales.

d. The mean number of sales in the two-hour period.

The mean of the binomia distribution is

E(X) = np

So

E(X) = 12*0.3 = 3.6

The mean number of sales in the two-hour period is 3.6.

4 0
3 years ago
If 3/4 = x/8 then x is equal to what
pickupchik [31]

Answer:

x is 6

Step-by-step explanation:

3/4 * x/8

3*8=24 then,

divide by 4 which gives you 6.

Also if you simplify 6/8, it will give you 3/4.

3 0
2 years ago
Read 2 more answers
A theater has 28 rows of 38 seats downstairs and 14 rows of 26 seats upstairs.How many seats does the theater have?
Triss [41]
For downstairs- 28 x 38= 1064

For upstairs- 26 x 14= 364

All together- 1064 + 364= 1428


So.... 1428 seats in total.

Hope this helped! :)
3 0
2 years ago
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