There are three passing grades A, B and C in an examination. Candidates who score more than 75 marks will achieve grade A, candidates who score 61 to 75 marks will achieve grade B while candidates who score 50 to 60 marks will achieve grade C. It is assumed that the marks are normally distributed with a mean of 52 and a standard deviation of 18. (c) (i) Find the probability that a randomly selected candidate will pass the examination but fail to score grade A. If 30 candidates sit for the examination, find the probability that there will be between 13 and 16 candidates fail the examination. (ii)

Q: The mean height of 15-year-old boys (in cm) is 175 and the variance is 64. For girls, the mean is…

A: 1] μ1=1752] μ1=1653] σ12=644] σ22=645] n1=86]  n2=8

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A: Given data,μ=190σ=22P(X>160)=?

Q: The mean height of 15-year-old boys (in cm) is 175 and the variance is 64. For girls, the mean is…

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A:

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A:

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Q: The average of the weights of all the boys in Sixth Grade in a school is 100 pounds and its standard…

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Q: a)The height of travellers were normally distributed about a mean of 160cm and a standard deviation…

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Q: Suppose the distribution of BMI (kg/m2 ) among a group of diabetic children varies normally with a…

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A:

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Q: The random variable X has a normal distribution with a variance of 16 and an unknown mean. If the…

A: Given Data: X is a random variable   Variance (X)=16   X~ Normal (μ, 16) P(x>65)=0.025

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A:

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Q: An automobile insurer has found that repair claims are Normally distributed with a mean of $620 and…

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A: It is given that mean and standard deviation are 54.8 inches and 2.74 inches, respectively.

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A:

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 12.2…

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A:

Q: Suppose a candidate for public office is favored by only 47% of the voters. If a sample survey…

A: Given Population mean=0.47 Population standard deviations=0.01

Q: In 2000, the average height of a woman aged 20–74 years was 64 inches with an increase of…

A: Given that: X is normal Distributed with mean                   µ = 64.0 and standard deviation σ =…

Q: Suppose that chemistry exam scores are normally distributed with a mean of 24 and a standard…

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Q: Suppose the scores, x, on a college entrance examination are normally distributed with a mean of…

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Q: Suppose the scores, X, on a college entrance examination are normally distributed with a mean of…

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Q: If the random variable of X is normally distributed with a mean of 50 and a standard deviation of…

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A:

Q: The probability that a person who exercises and eats well has a heart attack is predicted to be 0.6…

A: It is given that n=19 and p=0.6.

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A:

Q: Suppose that skiing injuries occur at a constant rate, are statistically independent of each other,…

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Q: The average cholesterol content of a certain brand of eggs is 215 milligrams, and the standard…

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A:

Q: A psychologist knows from past research that the personality trait neuroticism is approximately…

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Q: Suppose the annual savings (in millions of euros) of a specific household is a random variable,…

A: Given: n=16, μ=5 and σ=1.…

Q: The average cholesterol content of a certain brand of eggs is 215 milligrams, and the standard…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.