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3 years ago

Determine the values of the letters to complete the conditional relative frequency table by column.

Mathematics

2 answers:

ikadub [295]3 years ago

4 0

Answer:

Values of a and b are:

a=0.1

and b=0.85

Step-by-step explanation:

As we can clearly see from the table that sum of each column is equal to 1.0

i.e. 0.9+a=1.0

and b+0.15=1.0

Hence, a=1.0-0.9

= 0.1

and b=1.0-0.15

=0.85

Hence, Values of a and b are:

a=0.1

and b=0.85

weqwewe [10]3 years ago

3 0

Answer:

$a=0.1\\b=0.85$

Step-by-step explanation:

In this problem we are calculating the relative frequency conditional by columns.

Therefore the sum of the frequencies of each column must be equal to 1.

Then we use this condition to calculate the values of a and b

So:

$0.9 + a = 1\\a = 1-0.9\\a = 0.1$

$b +0.15 = 1\\b = 1-0.15\\b = 0.85$

Finally

$a=0.1\\b=0.85$

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Kaden works 5 days. The median number of hours he works is 3. The mean number of hours he works is 4.

alisha [4.7K]

Answer:

(a) 1, 2, 3, 6, 8

Step-by-step explanation:

Given

$Median = 3$

$Mean = 4$

Required

The sequence of hours worked each day

See attachment for options

From the question, we understand that:

$Median = 3$

This means that, the middle number is 3 (when sorted)

So, we can conclude that (b) and (c) cannot be true because their middle numbers are 6 and 5 respectively

Next, is to determine the mean of (a) and (d)

The mean of a data is calculated as:

$\bar x = \frac{\sum x}{n}$

So, we have:

(a)

$\bar x = \frac{1+ 2+ 3+ 6+ 8}{5}$

$\bar x = \frac{20}{5}$

$\bar x = 4$

(d)

$\bar x = \frac{1+ 2+ 3+ 4+ 5}{5}$

$\bar x = \frac{15}{5}$

$\bar x = 3$

Option (a) is true, because it has:

$Median = 3$

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3 years ago

-4 ( 6 - 2n ) = 30 + 8n Please help me

pogonyaev

N = no solution

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2 years ago

A nationwide census is conducted and it is found that the mean number of hours of television watched per year by Americans is 35

Ber [7]

Answer:

Probability that a group of 4 Americans watch more than 400 hours of television per year is 0.3264.

Step-by-step explanation:

We are given that a nationwide census is conducted and it is found that the mean number of hours of television watched per year by Americans is 350 with a standard deviation of 220.

A group of 4 Americans is selected.

Let $\bar X$ = sample mean number of hours of television watched per year

The z score probability distribution for sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean = 350

$\sigma$ = standard deviation = 220

n = sample of Americans = 4

Now, the probability that a group of 4 Americans watch more than 400 hours of television per year is given by = P( $\bar X$ > 400 hours)

P( $\bar X$ > 400) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ > $\frac{400-350}{\frac{220}{\sqrt{4} } }$ ) = P(Z > 0.45) = 1 - P(Z $\leq$ 0.45)

= 1 - 0.6736 = 0.3264

The above probability is calculated by looking at the value of x = 0.45 in the z table which has an area of 0.6736.

Hence, the probability that a group of 4 Americans watch more than 400 hours of television per year is 0.3264.

6 0

3 years ago