Solve the formula V=3/4 LWH for W

Sixty percent of consumers prefer to purchase electronics online. You randomly select 8 consumers. Find the probability that the

Lubov Fominskaja [6]

Answer:

$a. \ P(X=5)=0.2787\\\\b.\ \ P(X>5)=0.3154\\\\c. \ P(X\leq 5)=0.6846$

Step-by-step explanation:

a. This a binomial probability distribution problem expressed as:

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

#Given the probability of success, p=0.60 and the number of trials, n=8, the probability of exactly 5 purchases is calculated as:

$P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\\\P(X=5)={8\choose 5}0.6^5(1-0.6)^3\\\\=0.2787$

Hence, the probability of exactly 5 purchases is 0.2787

b. Given n=8 , p=0.60, the probability of more than 5 purchases is calculated as:

$P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\\\P(X>5)=P(X=6)+P(X=7)+P(X=8)\\\\={8\choose 6}0.6^6(1-0.6)^2+{8\choose 7}0.6^7(1-0.6)^1+{8\choose 8}0.6^8(1-0.6)^0\\\\=0.2090+0.0896+0.0168\\\\=0.3154$

Hence, the probability of more than 5 purchases is 0.3154

c. The probability of at most 5 purchases is equivalent to 1-P(x>5) and is calculated as:

#From b above, P(X>5)=0.3154;

$P(X\leq 5)=1-P(X>5)\\\\=1-0.3154\\\\=0.6846$

Hence, the probability of at most 5 purchases is 0.6846

8 0

2 years ago

Your centrifugal pump costs approximately $30 to run each day. Your facility is charged 9.7 cents per kilowatt hour for electric

andreyandreev [35.5K]

Answer:

The resistance of the copper wire supplying electricity to this pump is 0.005 ohm

Step-by-step explanation:

Given

Per day cost of running centrifugal pump is $30

Charge of electricity is 9.7 cents per kilowatt hour

Total electricity power consumed

$\frac{30}{0.097} \\309.278$ kilowatt hour

Current flowing through the pump

$= \frac{309.278}{240} \\= 1.288$ A

Resistance of the pump

$\frac{1.288}{240} \\0.005$ ohm

The resistance of the copper wire supplying electricity to this pump is 0.005 ohm

3 0

2 years ago

What's the median of 23,500 32,000 28,700 31,300 14,400 <br> 24,300 22,700 18,200 13,800 26,400

vovangra [49]

The answer is 23,900 because if you put all them in order from least to greatest and then cross out the same amount from each side and the middle number is the Median.. But if there is 2 middle numbers then you add them together and then divide by 2 and then there is your answer

6 0

3 years ago

Multiply and Solve <br> (6−i)(−7−9i)

alexandr1967 [171]

- 42 - 9i^2 I Hope this helps :)

5 0

3 years ago

Read 2 more answers

If 25 cents are the same as 1/4; how many 1/4 are in $10?

Snezhnost [94]

Answer:

40