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2 years ago

6

16. Out of 119 student, it was found that 16 drink neither coke nor pepsi, 69 drinks coke and 39 drink pepsi. Then a) Show the a

bove information in Venn diagram. b) Find the number of students who drink only one drink.

1 answer:

timofeeve [1]2 years ago

6 0

Step-by-step explanation:

Let U=universal set

C=students who drink coke

P = students who drink pepsi

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A study indicates that 62% of students have have a laptop. You randomly sample 8 students. Find the probability that between 4 a

Scrat [10]

Answer:

72.69% probability that between 4 and 6 (including endpoints) have a laptop.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they have a laptop, or they do not. The probability of a student having a laptop is independent from other students. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

A study indicates that 62% of students have have a laptop.

This means that $n = 0.62$

You randomly sample 8 students.

This means that $n = 8$

Find the probability that between 4 and 6 (including endpoints) have a laptop.

$P(4 \leq X \leq 6) = P(X = 4) + P(X = 5) + P(X = 6)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 4) = C_{8,4}.(0.62)^{4}.(0.38)^{4} = 0.2157$

$P(X = 5) = C_{8,5}.(0.62)^{5}.(0.38)^{3} = 0.2815$

$P(X = 6) = C_{8,6}.(0.62)^{6}.(0.38)^{2} = 0.2297$

$P(4 \leq X \leq 6) = P(X = 4) + P(X = 5) + P(X = 6) = 0.2157 + 0.2815 + 0.2297 = 0.7269$

72.69% probability that between 4 and 6 (including endpoints) have a laptop.

3 0

3 years ago

Semisuma lungimii bazelor este formula de calcul pentru: *

fredd [130]

Answer:

Can I Know Which Language Is This??

3 0

3 years ago

Pllllllllllllllllllllllllllllssssssssssssssssssssssssssss

cupoosta [38]

Answer:

50.24 units^2

Step-by-step explanation:

Area of circle formula: $\pi$ r^2

r = 4, $\pi$ = 3.14

3.14 * (4^2) = 3.14 * 16 = 50.24

5 0

3 years ago

Read 2 more answers

Find the given term 11, -33,99 9th term

kvv77 [185]

Assuming the sequence goes on like this 11,-33,99,-297,891,...,
its general formula is $a_n=-11\cdot(-1)^n\cdot3^{n-1}$

So, the 9th term is
$a_9=-11\cdot(-1)^9\cdot3^{9-1}=-11\cdot(-1)\cdot6561=72171$

5 0

3 years ago

I wasn't in class so I need help solving the inequality 7/10n+14<49

NikAS [45]

Answer:

n<50

Step-by-step explanation:

7/2*5n + 14<49

7n/2*5+14<49

(7n)+(2*5)14/2*5 <49

7n+10*14/2*5 <49

7n+140/2*5 <49

7n+140/10 <49

7n+140 < 10*49

7n+140 < 490

(7n+140)+(-140)<490+(-140)

7n+140-140<490-140

7n<350

7n/7 < 350/7

n<2*5^2*7/7

n<2*5^2

n<2*25

n<50

8 0

3 years ago