The number of tails seen in 53 tosses of a quarter. (i) Find the mean. (Give your answer correct to one decimal place.) (ii) Find the standard deviation. (Give your answer correct to two decimal places.)
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Consider the following binomial random variables.
(ii) Find the standard deviation. (Give your answer correct to two decimal places.)
(b) The number of left-handed students in a classroom of 46 students (assume that 8% of the population is left-handed).
(ii) Find the standard deviation. (Give your answer correct to two decimal places.)
(c) The number of cars found to have unsafe tires among the 387 cars stopped at a roadblock for inspection (assume that 15% of all cars have one or more unsafe tires).
(ii) Find the standard deviation. (Give your answer correct to two decimal places.)
(d) The number of melon seeds that germinate when a package of 53 seeds is planted (the package states that the
(ii) Find the standard deviation. (Give your answer correct to two decimal places.)
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