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Complete Question
Suppose the weight of Chipotle burritos follows a normal distribution with mean of 450 grams, and variance of 100 grams2 . Define a random variable to be the weight of a randomly chosen burrito.
(a) What is the probability that a Chipotle burrito weighs less than 445 grams? (3 points)
(b) 20% of Chipotle burritos weigh more than what weight
Answer:
a
b
Step-by-step explanation:
From question we are told that
The population mean is
The variance is
The consider weight is
The standard deviation is mathematically represented as
substituting values
Given that weight of Chipotle burritos follows a normal distribution the the probability that a Chipotle burrito weighs less than x grams is mathematically represented as
Where is equal to z (the standardized values of the random number X )
So
substituting values
Now from the normal distribution table the value for is
=>
Let the probability of the Chipotle burritos weighting more that k be 20% so
=>
=>
From the normal distribution table the value of z for is
=>
=>