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DerKrebs [107]
2 years ago
5

A teacher asks her students to write down the number of hours studied, rounded to the nearest half hour. She compiles the result

s and develops the probability distribution below for a randomly selected student. What is the mean of the probability distribution?
Probability Distribution
Hours Studied: X
Probability: P(X)
0.5
0.07
1
0.2
1.5
0.46
2
0.2
2.5
0.07
Mathematics
2 answers:
irina1246 [14]2 years ago
5 0

Answer:1.50

Step-by-step explanation:None

Stels [109]2 years ago
4 0

Answer: the answer is d

Step-by-step explanation:

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A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. Construct the 95% confid
katrin [286]

Answer:

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 865, \pi = \frac{408}{865} = 0.4717

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 - 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.4384

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 + 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.5050

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

6 0
3 years ago
A bag contain 5 red marbles,4 green marbles and 1 blue marble. A marble is chosen at random from the bag and not replaced; then
jarptica [38.1K]

Answer:

\frac{2}{15}

Step-by-step explanation:

GIVEN: A bag contain 5 red marbles,4 green marbles and 1 blue marble. A marble is chosen at random from the bag and not replaced, then a second marble is chose.

TO FIND: What is the probability both marbles are green.

SOLUTION:

Total marbles in bag =10

total number of green marbles =4

Probability that first marble will be green P(A)=\frac{\text{total green marbles}}{\text{total marbles}}

                                                                    =\frac{4}{10}=\frac{2}{5}

Probability that second marble will be green P(B)=\frac{\text{total green marble in bag}}{\text{total marble in bag}}

                                                                                    \frac{3}{9}=\frac{1}{3}

As both events are disjoint

probability both marbles are green =P(A)\times P(B)

                                                           =\frac{2}{5}\times\frac{1}{3}=\frac{2}{15}

Hence  the probability both marbles are green is \frac{2}{15}

8 0
3 years ago
Use compatible numbers to find two estimates 73÷4,858
zvonat [6]
Compatible numbers to find two estimates 73÷4,858

70÷4,850 = 0.014
You sure it's not 4,858÷73
4,850÷70 =

______ _____ 69 2/7
70)4850. 7)485
42
65
63
8 0
3 years ago
Help me please<br> It about linear equations
marin [14]

Answer:

Hours:         Elevation:

0                  3000

2                  2000

5                  500

Step-by-step explanation:

Time is always placed on the x (horizontal) axis, and the dependent variable on the y. Just find the number given and find the corresponding value to go with it! Hope this helps :)

5 0
2 years ago
Which decimal number is the smallest 1.001 1.1 1.01 1.011
ddd [48]
1.001 is the smallest :)))
3 0
3 years ago
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