What is the better buy? 1.50 for 5 oz 1.20 for 3 oz

The on-line access computer service industry is growing at an extraordinary rate. Current estimates suggest that only 20% of the

vitfil [10]

Answer:

The probability is 0.4207

Step-by-step explanation:

The probability of a home-based computer having access to on-line services is p = 0.2 (data from the exercise)

Then, the probability of a home-based computer not having access to on-line services is p = 1 - 0.2 = 0.8

We are going to use this probability (p = 0.8) to solve the exercise.

Let's define the random variable X

X : ''Number of home-based computers not having access to on-line services''

X can be modeled as a binomial random variable

X ~ Bi(p,n)

X ~Bi(0.8,25)

Where p is the success probability and n is the number of Bernoulli independent experiments we are taking place.

We are going to count ''a success'' as a computer not having access to on-line services.

The binomial probability function is :

$P(X=x)=(nCx)p^{x}(1-p)^{n-x}$

Where P(X=x) is the probability of the random variable X to assume the value x

nCx is the combinatorial number define as

$nCx=\frac{n!}{x!(n-x)!}$

p is the success probability and n the number of Bernoulli independent experiments taking place.

In our exercise,

$p=0.8\\n=25$

We are looking for :

$P(X>20)=P(X=21)+P(X=22)+P(X=23)+P(X=24)+P(X=25)$

$P(X>20)=(25C21)0.8^{21}0.2^{4}+(25C22)0.8^{22}0.2^{3}+(25C23)0.8^{23}0.2^{2}+(25C24)0.8^{24}0.2^{1}+(25C25)0.8^{25}0.2^{0}$

$P(X>20)=0.1867+0.1358+0.0708+0.0236+0.8^{25}$

$P(X>20)=0.4207$

Finally, the probability of finding that more than 20 of 25 home-based computers do not have access to on-line services is 0.4207

6 0

3 years ago

How many triangles can be constructed with side measurements 6 cm, 15 cm, 20 cm?

Lynna [10]

Only one and only one triangle could be constructed with 3 defined sides length. Answer B

4 0

3 years ago

Read 2 more answers

A recipe for lemonade punchcalls for 6 cups of lemonade for every 24 cups of sprite. Which equation could be used to find x, the

Katena32 [7]

Answer:

6/24=x/100

Step-by-step explanation:

Computation for the equation that could be used to find x, the percent of lemonade in the whole recipe

The EQUATION to find x, the percent of lemonade in the whole recipe will be :

6 /24=x/100

Hence, cross multiply

x=6/24×100

x=0.25×100

x=25%

Therefore the equation to find x, the percent of lemonade in the whole recipe will be 6/24=x/100 which will give us x= 25% when will cross multiply.

4 0

3 years ago

I need help how to round up to the nearest tenth

Valentin [98]

Answer:

You just take the hundredths place and then round up if its 5 or above. I'll show you some examples.

Step-by-step explanation:

Tenths Rounding:

29.45 rounded is 29.5

25.42 rounded is 25.4

56.48 rounded is 56.5

2.35 rounded is 2.4

You should be able to kinda read through and get the pattern

4 0

4 years ago

If the occurrence of one event has no effect on the occurrence of a second event, then the events are ________.

Firdavs [7]

Answer:

Independent event

Step-by-step explanation:

We have different type of event occurrence: an event could be dependent, independent or mutually exclusive.

Two event are mutually exclusive if disjoint if they cannot both occur at the same time. An example of mutually exclusive event is the set of outcomes of a single coin toss, which can result in either heads or tails, but not both.

Two events are independent if the occurrence of one does not affect the probability of occurrence of the other. Independent Events are not affected by previous events.

Two events are dependent if the occurrence of one does affect the occurrence of the second one.

7 0

3 years ago