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Lady bird [3.3K]
2 years ago
6

Suppose that the probabilities of a customer purchasing​ 0, 1, or 2 books at a book store are 0.2​, 0.3​, and 0.5​, respectively

. What is the expected number of books a customer will​ purchase?
Mathematics
1 answer:
svetlana [45]2 years ago
3 0

Answer:

Expectation number of books a customer will​ purchase  =  1.3

Step-by-step explanation:

x     :​ 0      1              2

p(x) :0.2​,  0.3​, and 0.5​

Expectation

E(X) = ∑x P(x)

      = 0 X 0.2 +1 X 0.3+ 2 X 0.5

     = 1.3

Expectation  E(X) =  1.3

Expectation number of books a customer will​ purchase  =  1.3

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jeka57 [31]

Given statement is False, if a light cost $3, it could be either Green or Yellow.

Converse: If the light bulb was Yellow, then the cost was $3 = True

Contrapositive makes both statements negative and switches the order of the original statement.

So something like:  If the light bulb is not yellow, then the cost would not be $3 = False because two colors cost the $3.

Inverse makes both statements negative but keeps the same order.

Something like : If the light bulb did not cost$3 then the light bulb was not yellow = False because two colors cost the $3.

4 0
3 years ago
Read 2 more answers
A table contains the ordered pairs (3, 42.25) and (5, 50.75). If the relationship in the table is linear, explain how to find th
Basile [38]

Answer:

The linear relationship ( the linear equation ):

y = m x + b ( the slope-intercept form )

m = ( 50.75 - 42.25 ) / ( 5 - 3 ) = 8.50 / 2 = 4.25 ( the slope )

42.25 = 4.25 * 3 + b

b = 42.25 - 12.75

b = 29.50

y = 4.25 * x + 29.50

Answer:

The initial value is : ( 0,  29.50 ) or 29.50.

5 0
3 years ago
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The average number of customers per day increased 25 percent during the sale. If the average number of customers per day before
Rasek [7]

Answer:

The average number of customers per day during the sale was 150.

Step-by-step explanation:

This question can be solved using a rule of three.

Before the sale, the average number of customers per day was 120, which is 100% = 1.

Now, there are x customers, and since it is an increase of 25%, it is 100+25 = 125% = 1.25. So

120 - 1

x - 1.25

x = 1.25*120 = 150

The average number of customers per day during the sale was 150.

6 0
3 years ago
A Ferris vil can accommodate 55 people in 15 minute how many people could ride the Ferris ville in 2 hours what is the rate per
AnnyKZ [126]

15 minutes is one quarter of an hour, so the number of people accommodated in an hour would be 4 x 55 = 220 people per hour

3 0
2 years ago
If an arrow is shot upward on Mars with a speed of 68 m/s, its height in meters t seconds later is given by
Talja [164]

Answer:

(a) dy/dt = 68 - 3.72t

(b) 64.28m/s

Step-by-step explanation:

Given y = 68t - 1.86t²

Average Speed is rate of chance of distance with respect to time. Written as dy/dt

To obtain dy/dt, we differentiate y with respect to t, doing that, we have

dy/dt = 68 - 2(1.86)t

= 68 - 3.72t

(a) dy/dt = 68 - 3.72t

(b) To estimate the speed when t = 1, we substitute t = 1 in dy/dt .

dy/dt at t = 1 is

68 - 3.72(1)

= 68 - 3.72

= 64.28

The speed at t = 1 is 64.28m/s

6 0
3 years ago
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