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Andre45 [30]
2 years ago
6

5. Suppose the probability distribution for X = number of jobs held during the past year for work

Mathematics
1 answer:
Sergeu [11.5K]2 years ago
8 0

Answer:

what is x equal to

Step-by-step explanation:

for example x= 3

and then you put

f(3)= slope + y - intercept

see how i changed f(x) to f(3) becuase the x was 3 and i put it there

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A salesperson contacts eight potential customers per day. From past experience, we know that the probability of a potential cust
AlexFokin [52]

Answer:

(a) The probability the salesperson will make exactly two sales in a day is 0.1488.

(b) The probability the salesperson will make at least two sales in a day is 0.1869.

(c) The percentage of days the salesperson does not makes a sale is 43.05%.

(d) The expected number of sales per day is 0.80.

Step-by-step explanation:

Let <em>X</em> = number of sales made by the salesperson.

The probability that a potential customer makes a purchase is 0.10.

The salesperson contacts <em>n</em> = 8 potential customers per day.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>p</em>.

The probability mass function of <em>X</em> is:

P(X=x)={8\choose x}0.10^{x}(1-0.10)^{8-x};\ x=0,1,2,3...

(a)

Compute the probability the salesperson will make exactly two sales in a day as follows:

P(X=2)={8\choose 2}0.10^{2}(1-0.10)^{8-2}\\=28\times 0.01\times 0.5314\\=0.1488

Thus, the probability the salesperson will make exactly two sales in a day is 0.1488.

(b)

Compute the probability the salesperson will make at least two sales in a day as follows:

P (X ≥ 2) = 1 - P (X < 2)

              = 1 - P (X = 0) - P (X = 1)

              =1-{8\choose 0}0.10^{0}(1-0.10)^{8-0}-{8\choose 1}0.10^{1}(1-0.10)^{8-1}\\=1-0.4305-0.3826\\=0.1869

Thus, the probability the salesperson will make at least two sales in a day is 0.1869.

(c)

Compute the probability that a salesperson does not makes a sale is:

P(X=0)={8\choose 0}0.10^{0}(1-0.10)^{8-0}\\=8\times 1\times 0.4305\\=0.4305

The percentage of days the salesperson does not makes a sale is,

0.4305 × 100 = 43.05%

Thus, the percentage of days the salesperson does not makes a sale is 43.05%.

(d)

Compute the expected number of sales per day as follows:

E(X)=np=8\times 0.10=0.80

Thus, the expected number of sales per day is 0.80.

7 0
3 years ago
The mean of this data is 8 what two numbers could go in the blanks <br><br> 12,4,9,13,7,11,5,2,-,-
Sophie [7]
12+4+9+13+7+11+5+2+_+_ /10= 8
x10 both sides

12+4+9+13+7+11+5+2+_+_=80
63+_+_=80
-63 both sides
_+_= 17
any two numbers that add up to 17 can go in the planks
7,10
4 0
3 years ago
The sandwich shop offers combo meals with a choice of one sandwich, one side, and one drink. On total there are 560 combos avail
Leto [7]
There are 7 sides available.

The fundamental counting principal tells us to find the total number of combinations of independent items, multiply the number of choices from each one (choices x choices x....)

This means that drink x sides x sandwiches = 560.  We know there are 16 sandwiches and 5 drinks.  Let S be the number of sides:
15(6)(S) = 560
80S = 560

Divide both sides by 80:
80S = 560/80
S = 7
6 0
3 years ago
For s=5 and t=8, 3st²-s²:<br> 3st²-s² =
melomori [17]

Step-by-step explanation:

Given,

s=5

t=8

solution,

= 3st² - s²

= 3*5*8² - 5²

= 3*5*64 - 25

= 960 - 25

= 935

8 0
2 years ago
The picture says all,,
mixas84 [53]
1/3(9)(10) = 30in^2
Hope it helps, you just have to plug in the values into formula given
5 0
2 years ago
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