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Nookie1986 [14]
2 years ago
5

In a standard normal distribution, the probability that z is greater than zero is

Mathematics
1 answer:
harina [27]2 years ago
7 0

Answer:

50%

Step-by-step explanation:

The distribution is symmetrical about  the y-axis.

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Find the greatest common factor and the least common multiple of 16 and 20. The prime factorizations of each number are given.
kykrilka [37]

Answer:

GCF 4, LCM 80

Step-by-step explanation:

Since both 16 and 20 have two 2s as factor, their greatest common factor is 4.

The LCM is found by multiplying all of the remaining factors by the LCM:

16 still has (2 x 2), 20 still has (5), times the GCF (4)  so 2 x 2 x 5 x 4 = 80.

5 0
2 years ago
The number of tickets purchased by an individual for Beckham College's holiday music festival is a uniformly distributed random
Zanzabum

1) Mean: 6.5

2) Standard deviation: 3.2

Step-by-step explanation:

1)

A uniform random distribution is the distribution of a variable that can assume n different values, and each of these values is equally likely to occur.

This means that the probability of occurring of each of these values is the same:

p(x_1)=p(x_2)=...=p(x_n)

For a uniform random distribution, the mean of the distribution is simply equal to the median value of the distribution, which is exactly at the center of the distribution itself. It can be calculated as

\bar x = \frac{1}{2}(a+b)

where

a is the lowest value of the distribution

b is the highest value of the distribution

Here the distribution consists of all values ranging from 1 to 12, so:

a = 1

b = 12

Therefore the mean value is

\bar x=\frac{1}{2}(1+12)=6.5

2)

For a uniform random distribution, it can be dimostrated that the variance of the distribution is

\sigma^2 = \frac{1}{12}(b-a)^2

For the distribution in this problem, we have:

a = 1

b = 12

Therefore the variance is

\sigma^2 = \frac{1}{12}(12-1)^2=10.08

The standard deviation is the square root of the variance, therefore for this distribution it is:

\sqrt{\sigma^2}=\sqrt{10.08}=3.2

Learn more about mean and standard deviation:

brainly.com/question/6073431

brainly.com/question/8799684

brainly.com/question/4625002

#LearnwithBrainly

3 0
3 years ago
Carlos drove to the train station and back. The trip there took five hours and the trip back took four hours. What was Carlos' a
katrin2010 [14]

Answer: 54.4 mph

Step-by-step explanation:

First find the distance to the train station. If it took Carlos 4 hours to come back driving at 68 mph, the distance is:

= Speed * time

= 68 * 4

= 272 miles

This means that Carlos drove for 5 hours to cover 272 miles the first time. His average speed was therefore:

= Distance / time

= 272/5

= 54.4 mph

3 0
2 years ago
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