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natali 33 [55]
3 years ago
8

The frequency table shows the scores from rolling a dice. Score Frequency

Mathematics
1 answer:
bonufazy [111]3 years ago
4 0

Answer:

The median is 3.5

Step-by-step explanation:

We want to find the median of the set of values.

First, we need to write the set in ascending order.

We get:

1 five times

2 three times

3 five times

4 two times

5 seven times

6 four times

The median will be the midle value (for example in a set of 5 elements, the middle element is the third one) of this set, then the first part is to write the set, we get:

{1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6}

In this set we have

5 + 3 + 5+ 2  +7 + 4= 26 values

So we will not have a middle value, we need to take the mean of the two middle values (the 13th value and the 14th value)

We can see in the set above that these values are:

3 and 4.

Then we want to take the mean between 3 and 4.

We get:

M = (3 + 4)/2 = 3.5

The median of this set is 3.5

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You are at a stall at a fair where you have to throw a ball at a target. There are two versions of the game. In the first
Tomtit [17]

Answer:

P(X=0)=(3C0)(0.1)^0 (1-0.1)^{3-0}=0.729

And the probability of loss with the first wersion is 0.729

P(Y=0)=(5C0)(0.05)^0 (1-0.05)^{5-0}=0.774

And the probability of loss with the first wersion is 0.774

As we can see the best alternative is the first version since the probability of loss is lower than the probability of loss on version 2.

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Alternative 1

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=3, p=0.1)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

We can find the probability of loss like this P(X=0) and if we find this probability we got this:

P(X=0)=(3C0)(0.1)^0 (1-0.1)^{3-0}=0.729

And the probability of loss with the first wersion is 0.729

Alternative 2

Let Y the random variable of interest, on this case we now that:

Y \sim Binom(n=5, p=0.05)

The probability mass function for the Binomial distribution is given as:

P(Y)=(nCy)(p)^y (1-p)^{n-y}

Where (nCx) means combinatory and it's given by this formula:

nCy=\frac{n!}{(n-y)! y!}

We can find the probability of loss like this P(Y=0) and if we find this probability we got this:

P(Y=0)=(5C0)(0.05)^0 (1-0.05)^{5-0}=0.774

And the probability of loss with the first wersion is 0.774

As we can see the best alternative is the first version since the probability of loss is lower than the probability of loss on version 2.

4 0
3 years ago
HELP PLEASE!! this is 8th grade math btw
natima [27]

Answer:

the 2nd one

Step-by-step explanation:

5 0
3 years ago
422 8/100 fraction notation
Ivenika [448]

The rule to convert a mixed fraction to an improper fraction is

a\frac{b}{c} =\frac{(a)(c)+b}{c}

Here in 422\frac{8}{100}

Here a = 422, b = 8 and c = 100

Now a × c = 422 × 100 = 42200

And 42200 + 8 = 42208

So we have

422\frac{8}{100} =\frac{(422)(100)+8}{10}=\frac{42200+8}{100}=\frac{42208}{100}

This fraction can also be reduced  as

\frac{42208}{100}=\frac{10552}{25}

Hence

422\frac{8}{100}=\frac{42208}{100}=\frac{10552}{25}

4 0
3 years ago
Read 2 more answers
12 minus b=-2 solve for b
ycow [4]
12 - b = -2
12 + 2 = b
14 = b
5 0
3 years ago
Read 2 more answers
How do I find the volume of this sphere while using 3.14
yawa3891 [41]
Vsphere=(4/3)pir³

d/2=r
d=6.2
6.2/2=r=3.1

vsphere=(4/3)pi3.1³
vsphere=(4/3)pi29.791
Vsphere=124.72498666666666666666666666667
answer is 124.72498666666666666666666666667 cubic feet
or rounded to neares whole, 125 square feet
7 0
3 years ago
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