For each generated digit, there are only two possible outcomes. Either it is a four, or it is not. The probability of a digit being a 4 is independent of other digits. 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.

The expetcted number of trials to get r sucesses, with p probability, is given by:

$E = \frac{r}{p}$

Assume that the calculator will generate a "4" on any given attempt with probability 0.20.

This means that $p = 0.2$

How many total generated digits should we expect in order to get a fifth "4"

This is E when r = 5. So

$E = \frac{r}{p} = \frac{5}{0.2} = 25$

We should expect 25 generated digits in order to get a fifth "4"

6 0

3 years ago

A family of 4 purchased tickets and paid for parking at Sea World. The tickets were $35 each, and parking was

Semmy [17]

Answer:

sadly, 5$.

Step-by-step explanation:

4 people, and 35$ per person. You spend 140 total on tickets alone. +15 for parking adds up to 155. Subtract all of that from 200, and you have 5 bucks left to spend.

3 0

3 years ago

An artist wants to make alabaster pyramids using a block of alabaster with a volume of 576 cubic inches. She plans to make each

marta [7]

Answer:

144 pyramids

Step-by-step explanation:

The volume of a pyramid = 1/3*base area * height

Given: Base area = 3 sq.inches

Height = 4 inches

Volume of each pyramid = 1/3*3*4

= 4 cube inches.

To find the number pyramids can the artist make from block of alabaster artist, we need to divide 576 by 4.

= 576/4

= 144

Therefore, the artist can make 144 pyramids.

Thank you.

6 0

4 years ago

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