Answer: 0.8413
Step-by-step explanation:
Given : Henry has collected data to find that the typing speeds for the students in a typing class has a normal distribution.
Mean :
Standard deviation : ![\sigma= 4](https://tex.z-dn.net/?f=%5Csigma%3D%204)
Let x be the random variable that represents the typing speeds for the students.
The z-score :-
![z=\dfrac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
For x= 51
![z=\dfrac{51-47}{4}=1](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B51-47%7D%7B4%7D%3D1)
Using the standard normal distribution table ,the probability that a randomly selected student has a typing speed of less than 51 words per minute :-
![P(x](https://tex.z-dn.net/?f=P%28x%3C51%29%3DP%28z%3C1%29%5C%5C%5C%5C%3D%200.8413447%5Capprox%200.8413)
Hence, the probability that a randomly selected student has a typing speed of less than 51 words per minute = 0.8413
Answer:
75
Step-by-step explanation:
The mode is the number that appears most often. Because 75 appears twice and the other numbers only appear once, it is the most used number.
The vertex and the t-intercept where t>0, will help solve this problem. Sending the work on the attachment.
This abosoulutly makes no snse