The probability when x is greater than 120 is 0.0367. Then the correct option is D.
<h3>What is a normal distribution?</h3>
The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The mean is 95 and the standard deviation is 14. Then the probability when x > 120 will be
The z-score will be
z = (120 - 95)/ 14
z = 1.7857
Then the probability will be
P(x > 120) = P(z > 1.7857)
P(x > 120) = 1 - P(x<120)
P(x > 120) = 1 - 0.96293
P(x > 120) = 0.0367
More about the normal distribution link is given below.
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Answer:
Step-by-step explanation:
We are given that
Initial velocity=30 ft/s
Initial position=
We have to write a mathematical model for height of the softball by using the position equation
The position equation on Earth's surface is given by
Where Initial velocity
=Initial position
Substitute the values in the equation then, we get
Hence, the mathematical model for height of the softball is given by
Answer:
How may pandas were born in 2006
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that a particular detection system has a 0.83 probability of detecting a missile attack.
Also each system is independent of the other to detect missile attack.
a) the probability that a single detection system will detect an attack=
b) the probability that at least one of the systems will detect the attack given two systems= 1-Prob no system detects
=
c) If three systems are installed, the probability that at least one of the systems will detect the attack
= 1- none of the three systems detect attack
d) We find that probability of detecting is more if we increase the system form 1 to 2 and 2 to 3.
Hence for safety and defence purpose multiple detection system is recommended.