6.

3.11 A shipment of 7 television sets contains 2 defective sets. A hotel makes a random purchase of 3 of the sets. If x is the nu

djverab [1.8K]

Answer:

Probability distribution for x:

$P(x=0)=0.3644\\\\P(x=1)=0.4373\\\\P(x=2)=0.1749\\\\P(x=3)=0.0233\\\\$

Step-by-step explanation:

We can model the number of defective sets in the group of TV sets (variable x) as a binomial variable, with sample size=3 and probability of success p=2/7≈0.2857.

The probability of k defective sets in the group is:

$P(x=k) = \dbinom{n}{k} p^{k}q^{n-k}$

So, we have this probabilty distribution for x:

$P(x=0) = \dbinom{3}{0} p^{0}q^{3}=1*1*0.3644=0.3644\\\\\\P(x=1) = \dbinom{3}{1} p^{1}q^{2}=3*0.2857*0.5102=0.4373\\\\\\P(x=2) = \dbinom{3}{2} p^{2}q^{1}=3*0.0816*0.7143=0.1749\\\\\\P(x=3) = \dbinom{3}{3} p^{3}q^{0}=1*0.0233*1=0.0233\\\\\\$

7 0

3 years ago

Write an equation for the function that includes the following points (2, 32) and (3, 64)

luda_lava [24]

Answer:

y=32x-32

Step-by-step explanation:

this time no algorithm or equation was needed i saw that if the equation was y=32x there would be ordered pairs (1,32) and (2,64) so to delay it by 1 on the x side just subtract the slope from the y - intercept sorry if that doesn't make sense

6 0

2 years ago

At the beginning of the season, MacDonald had to remove 555 orange trees from his farm. Each of the remaining trees produced 210

nevsk [136]

Answer:

Initial number of trees were 204.

Step-by-step explanation:

555 must be a typo error. The question will not produce correct answer. I worked out with 55 but the answer is wrong. So, the number is 5.

Lets say MacDonald removed 5 orange trees from his farm.

Let t be the initial number of trees

After removing 5 trees, the remaining left are t-5 trees

As given - Each of the remaining trees produced 210 oranges for a total harvest of 41790 oranges. This means

$(t-5)210= 41790$

Solving for t:

$210t-1050=41790$

$210t=41790+1050$

$210t=42840$

t = 204

So, initial number of trees were 204.

We can check this : $204-5=199$

$199\times210=41790$

------------------------------------------------------------------------------------------

Working with 55 we get the wrong answer:

$(t-55)210=41790$

$210t-11550=41790$

$210t=30240$

t = 144

We can check this : $144-5=139$

$139\times210=29190$ (wrong)

8 0

3 years ago

What does the f(n - 1) represent?

leonid [27]

I'm assuming that you are talking about sequences <3

In the context of a recursive formula where we have "n-1" in sub-index of "a", you can think of "a" as the previous term in the sequence. In the context of an explicit formula like "-5+2(n-1)" "n-1" represents how many times we need to add 2 to the first term to get the nth term.

Dw if you don't understand, sequences and functions isn't an easy topic

3 0

2 years ago

Find the original price of a pair of shoes that was discounted 20% and now sell for $54

Tresset [83]

Original price = x

The original price of a pair of shoes was discounted 20%.

20% = 20/100 = 0.2

1 - 0.2 = 0.8

x * 0.8

Now they sell for $54.

x * 0.8 = 54

Solve to find x.

54 / 0.8 = x

x = 67.5

Convert that to currency.

7 0

2 years ago