You studied for 14 hours last week.What was your unit rate of hours of study per day

At a local University, it is reported that 81% of students own a wireless device. If 5 students are selected at random, what is

Sphinxa [80]

Answer:

34.87% probability that all 5 have a wireless device

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they own a wireless device, or they do not. The probability of a student owning a wireless device 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.

81% of students own a wireless device.

This means that $p = 0.81$

If 5 students are selected at random, what is the probability that all 5 have a wireless device?

This is P(X = 5) when n = 5. So

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

$P(X = 5) = C_{5,5}.(0.81)^{5}.(0.19)^{0} = 0.3487$

34.87% probability that all 5 have a wireless device

5 0

3 years ago

What is the smallest angle of rotational symmetry for a square?

Andre45 [30]

Answer:

90° degrees

Step-by-step explanation:

the angle of rotational symmetry for a square is 90 degrees.

which the figure can be rotated to coincide with itself. The order of symmetry is the number of times the figure coincides with itself as its rotates through 360° .

example: a regular hexagon has rotational symmetry.

5 0

3 years ago

Read 2 more answers

What is the long division for 1. 5)65,749 2. 6)22,176 3. 5)25,931 4. 4)71,568 5. 7)98,694 6. 9)81,844

Anestetic [448]

5 65,749 13,149 R4 2. 6 22,176 3,696 R0 3. 5 25,931 5,186 R1 4. 4 71,568 17,892 R0 5. 7 98,694 14,099 R1 6. 9 81,844 9,093 R7

3 0

4 years ago

The Best Company produces two commercial products : blenders and mixers. Both products require a two step production process inv

deff fn [24]

Answer: