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Employees were asked how many times per week they exercised. The frequency table shows the results of the survey.

Number of times exercised per week 0 1 2 3 4 5 6 7 8

Frequency 5 10 2 9 33 12 15 3 1


(a) Create a probability distribution table from the frequency table. Round probabilities to the nearest hundredth.


Find:

(b) P (x < 4)

(c) P (x = 6)

(d) P (x ≥ 5)

Answer:

Employees were asked how many times per week they exercised The frequency table shows the results of the surveyNumber of times exercised per week 0 1 2 3 4 5 6 class=

Respuesta :

frika

Answer:

See explanation

Step-by-step explanation:

Given the frequency table

[tex]\begin {array}{cccccccccc}\text{Number}&0&1&2&3&4&5&6&7&8\\ \\\text{Frequency}&5&10&2&9&33&12&15&3&1\end{array}[/tex]

a) The total sum is

[tex]5+10+2+9+33+12+15+3+1=90[/tex]

Create a probability distribution table

[tex]\begin {array}{cccccccccc}\text{Number}&0&1&2&3&4&5&6&7&8\\ \\\text{Probability}&\dfrac{5}{90}&\dfrac{10}{90}&\dfrac{2}{90}&\dfrac{9}{90}&\dfrac{33}{90}&\dfrac{12}{90}&\dfrac{15}{90}&\dfrac{3}{90}&\dfrac{1}{90}\end{array}[/tex]

b) The probability

[tex]P(x<4)=P(x=0)+P(x=1)+P(x=2)+P(x=3)=\dfrac{5}{90}+\dfrac{10}{90}+\dfrac{2}{90}+\dfrac{9}{90}=\dfrac{26}{90}=\dfrac{13}{45}[/tex]

c) The probability

[tex]P(x=6)=\dfrac{15}{90}=\dfrac{1}{6}[/tex]

d) The probability

[tex]P(x\ge 5)=P(x=5)+P(x=6)+P(x=7)+P(x=8)=\dfrac{12}{90}+\dfrac{15}{90}+\dfrac{3}{90}+\dfrac{1}{90}=\dfrac{31}{90}[/tex]

The answer is,

a) Total frequency=90

b) P(x<4)=13/45

[tex]c) P(x\geq 5)=\frac{31}{90}[/tex]

We have given the frequency table

Number:          0       1    2    3  4    5   6   7   8  

Frequency:       5    10   2   9   33    12  15  3  1

a) The total sum  of frequency is,

[tex](f_i)[/tex]=5+10+2+9+33+12+15+3+1=90

Now next create a probability distribution table which is

Number:          0            1          2         3          4           5          6       7        8  

Frequency:  5/90    10/90   2/90   9/90   33/90    12/90  15/90  3/90  1/90

Next, find the given  probabilities,

What is the meaning of probability?

Probability,is a number describing how likely it is that your data would have occurred by random chance.

b) The probability

[tex]P(x < 4)[/tex]=[tex]P(x=0,1,2,3)=5/90+10/90+2/90+9/90=\frac{26}{90}=\frac{13}{45}[/tex]

c) The probability:

[tex]P(x=6)=\frac{15}{90}=\frac{1}{6}[/tex]

d) The probability

[tex]P(x\geq 5)=P(x=5,6,7,8)=33/90+12/90+15/90+3/90+1/90)=\frac{31}{90}[/tex]

Therefore the answer is,

a) Total frequency=90

b) P(x<4)=13/45

[tex]c) P(x\geq 5)=\frac{31}{90}[/tex]

To learn more about the probability visit:

https://brainly.com/question/24756209

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