Answer:
0.006 is the probability that the record will be broken in next year.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 62 seconds
Standard Deviation, σ = 0.8 seconds
We are given that the distribution of face time is a bell shaped distribution that is a normal distribution.
Formula:
[tex]z_{score} = \displaystyle\frac{x-\mu}{\sigma}[/tex]
The record will be broken if the time is less than 60 seconds.
P(time is less than 60 seconds)
P(x < 60)
[tex]P( x < 60) = P( z < \displaystyle\frac{60 - 62}{0.8}) = P(z < -2.5)[/tex]
Calculation the value from standard normal z table, we have,
[tex]P(x < 60) =0.006 = 0.6\%[/tex]
Thus, 0.006 is the probability that the record will be broken in next year.
0.006 is the probability that the record will be broken in the next year.
Step-by-step explanation:
Given :
[tex]\rm \mu = 62 \; sec[/tex]
[tex]\rm \sigma = 0.8 \; sec[/tex]
Distribution is normal.
Calculation :
Formula used -
[tex]z_s_c_o_r_e = \dfrac{x-\mu}{\sigma}[/tex]
If time is less than 60 sec the record will be break,
[tex]P(x<60)=P(z<\dfrac{60-62}{0.8})= P(z<-2.5)[/tex]
Calculate the value from the standard normal z table, we get
P(x<60) = 0.006 = 0.6%
Therefore, 0.006 is the probability that the record will be broken in the next year.
For more information, refer the link given below
https://brainly.com/question/14210034?referrer=searchResults
