Lillian is sitting on a bench in the mall. She noticed that 3 out of the last 15 men who walked
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Answer:
The answer to the question is;
The probability that the resulting sample mean of nicotine content will be less than 0.89 is 0.1587 or 15.87 %.
Step-by-step explanation:
The mean of the distribution = 0.9 mg
The standard deviation of the sample = 0.1 mg
The size of the sample = 100
The mean of he sample = 0.89
The z score for sample mean is given by
where
X = Mean of the sample
μ = Mean of the population
σ = Standard deviation of the population
Therefore Z = = -1
From the standard probabilities table we have the probability for a z value of -1.0 = 0.1587
Therefore the probability that the resulting sample mean will be less than 0.89 = 0.1587 That is the probability that the mean is will be less than 0.89 is 15.87 % probability.
Answer:
The probability is
Step-by-step explanation:
From the question we are told that
The number of green marbles is
The number of red marbles is
The number of red marbles is
Generally the total number of marbles is mathematically represented as
Generally total number of marbles that are not red is
=>
=>
The probability of the first ball not being red is mathematically represented as
=>
The probability of the second ball not being red is mathematically represented as
=> (the subtraction is because the marbles where selected without replacement )
=>
The probability that the first two balls is not red is mathematically represented as
=>
=>
The probability of the third ball being red is mathematically represented as
(the subtraction is because the marbles where selected without replacement )
=>
Generally the probability of the first two marble not being red and the third marble being red is mathematically represented as
=>