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The function has the property for all real numbers.
The rule for could be
Which one of the following shows the graph of the inverse function of :
:
A random sample of students were sampled and asked about their preferred subject at school, Maths or Science. Two students said they prefer Maths. A confidence interval for the proportion of students in the population who prefer Maths is given by:
In a particular town, of the population said they would vote for the current Mayor. If a random sample of townspeople is taken, the probability that more than half of them will vote for the current Mayor is:
The graph of a standard normal distribution with and is given below.
The graph of a normal distribution with and , plotted on the same scale, could be:
The discrete random variable has a binomial distribution. The mean of is and the variance of is . The number, , of independent trials, and the probability, , of success in each trial are given by:
Which of the following graphs illustrate a binomial distribution where:
and
The value of for which forms a probability density function is: