1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Pepsi [2]
3 years ago
12

John runs a computer software store. Yesterday he counted 123 people who walked by the store, 56 of whom came into the store. Of

the 56, only 23 bought something in the store. (Round your answers to two decimal places.) (a) Estimate the probability that a person who walks by the store will enter the store. (b) Estimate the probability that a person who walks into the store will buy something. (c) Estimate the probability that a person who walks by the store will come in and buy something. (d) Estimate the probability that a person who comes into the store will buy nothing.
Mathematics
1 answer:
vaieri [72.5K]3 years ago
8 0

Answer:

a) There is a 45.53% probability that a person who walks by the store will enter the store.

b) There is a 41.07% probability that a person who walks into the store will buy something.

c) There is a 18.70% probability that a person who walks by the store will come in and buy something.

d) There is a 58.93% probability that a person who comes into the store will buy nothing.

Step-by-step explanation:

This a probability problem.

The probability formula is given by:

P = \frac{D}{T}

In which P is the probability, D is the number of desired outcomes and T is the number of total outcomes.

The problem states that:

123 people walked by the store.

56 people came into the store.

23 bought something in the store.

(a) Estimate the probability that a person who walks by the store will enter the store.

123 people walked by the store and 56 entered the store, so T = 123, D = 56.

So

P = \frac{D}{T} = \frac{56}{123} = 0.4553

There is a 45.53% probability that a person who walks by the store will enter the store.

(b) Estimate the probability that a person who walks into the store will buy something.

56 people came into the store and 23 bought something, so T = 56, D = 23.

So

P = \frac{D}{T} = \frac{23}{56} = 0.4107

There is a 41.07% probability that a person who walks into the store will buy something.

(c) Estimate the probability that a person who walks by the store will come in and buy something.

123 people walked by the store and 23 came in and bought something, so T = 123, D = 23.

So

P = \frac{D}{T} = \frac{23}{123} = 0.1870

There is a 18.70% probability that a person who walks by the store will come in and buy something.

(d) Estimate the probability that a person who comes into the store will buy nothing.

Of the 56 people whom came into the store, 23 bought something. This means that 56-23 = 33 of them did not buy anything. So:

D = 33, T = 56

P = \frac{D}{T} = \frac{33}{56} = 0.5893

There is a 58.93% probability that a person who comes into the store will buy nothing.

You might be interested in
An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 110 engines
slava [35]

Answer:

we will fail to reject the null hypothesis and conclude that the mean pressure is not different from 4.7 psi

Step-by-step explanation:

Let's first define the hypothesis;

Null hypothesis: H0: μ = 4.7

Alternative hypothesis: Ha: μ ≠ 4.7

We have;

Sample size; n = 110

Sample mean; x¯ = 4.6

Variance: σ² = 0.64

Standard deviation; σ = √0.64 = 0.8

Formula for test statistic is;

z = (x¯ - μ)/(σ/√n)

z = (4.6 - 4.7)/(0.8/√110)

z = -0.1/0.0763

z = -1.31

From online p-value from z-score calculator attached, using; z = -1.31, two tailed hypothesis, significance value of 0.1, we have;

P-value = 0.190196

The p-value is greater than the significance value and thus we will fail to reject the null hypothesis and conclude that the mean pressure is not different from 4.7

σ μ

8 0
2 years ago
please help. use the table below to answer the questions. i just took a picture of the answer and stuff.
Sergeu [11.5K]

Answer:

1) 400

2) 62

3) i want to say 4.5%

Step-by-step explanation:


5 0
3 years ago
Read 2 more answers
Find the greatest possible number of consecutive zeros at the end of the product of three positive integers if the sum of these
Vesnalui [34]

Answer:

I think its 5 consecutive zeros.

Step-by-step explanation:

This would be a guess but I think you would need two numbers in the hundreds that also have 2 parts of which have a product of a number ending in 0, like 4 and 5.

So my guess would be

400 * 500 * 39

= 7800000

7 0
2 years ago
56 = −8d + 8 there's not multiple answers
ollegr [7]

Answer:

d= -6

Step-by-step explanation:

56 = -8d + 8

1) You want to get d by itself. Subtract 8 from both sides.

56 = -8d + 8

- 8           - 8

<em>(8 - 8 = 0, and 56 - 8 is 48.)</em>

48 = -8d

2) Then, you divide my -8 on both sides.

(<em>48 / -8 is -6, and -8d / -8 is just d.)</em>

-6 = d

So, d = -6

3 0
3 years ago
0.4x - 1.2 = 0.15x + 0.8 ?????????
valentina_108 [34]

Answer:

x = 8

Step-by-step explanation:

0.4x - 1.2 = 0.15x + 0.8

0.4x - 1.2 + 1.2 = 0.4x

0.15x + 0.8 + 1.2 = 0.15x + 2

0.4x = 0.15x + 2

0.4x - 0.15x = 0.25x

0.15x + 2 - 0.15x = 2

0.25x = 2

0.25x / 0.25 = x

2 / 0.25 = 8

x = 8

7 0
3 years ago
Other questions:
  • Can some body help me with this geometry question please I need the answer asap
    5·1 answer
  • How do you find diameter of cylinder if height and volume is given?
    9·1 answer
  • Ms. Sharma is a house painter whose salary is 15,840 dollars for the season, which has 90 work days. She takes a day off without
    6·1 answer
  • 1. You buy 3 pounds of organic apples for $7.50. The graph shows the price of regular apples.
    13·2 answers
  • How many distinct nucleotide sequences of 32 bases exist??
    14·1 answer
  • Sick-leave time used by employees of a firm in a course of one month has approximately normal distribution, with a mean of 200 h
    8·1 answer
  • 7 4/6+1/3−5/6= <br> in fraction thank you
    10·2 answers
  • Determine the intercepts of the line
    8·1 answer
  • Solve by using distributive property.<br><br> -3(m - 2) = 21
    7·2 answers
  • Brainiest to whoever correct
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!