1.  The weights of bags of baby carrots are normally​ distributed, with a mean of 34 ounces and a standard deviation of 0.36 ounce. Bags in the upper​ 4.5% are too heavy and must be repackaged. What is the most a bag of baby carrots can weigh and not need to be repackaged?  2. Find the indicated probability using the standard normal distribution. P(z< 2.23 or z>2.23)   3.  Assume the random variable x is normally distributed with mean μ=81 and standard deviation σ =55. Find the indicated probability.   ​P(64<x<74​)   4.  The monthly utility bills in a city are normally​ distributed, with a mean of $100 and a standard deviation of ​$13 Find the probability that a randomly selected utility bill is​ (a) less than ​$66 (b) between $86 and $110 and​ (c) more than $130   please answer all problems

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1.  The weights of bags of baby carrots are normally​ distributed, with a mean of 34 ounces and a standard deviation of 0.36 ounce. Bags in the upper​ 4.5% are too heavy and must be repackaged. What is the most a bag of baby carrots can weigh and not need to be repackaged? 

2. Find the indicated probability using the standard normal distribution.

P(z< 2.23 or z>2.23)
 
3.  Assume the random variable x is normally distributed with mean
μ=81 and standard deviation σ =55.
Find the indicated probability.
 
​P(64<x<74​)
 
4.  The monthly utility bills in a city are normally​ distributed, with a mean of $100 and a standard deviation of ​$13 Find the probability that a randomly selected utility bill is​ (a) less than ​$66 (b) between $86 and $110 and​ (c) more than $130
 
please answer all problems 
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