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The function has the property for all real numbers.

The rule for could be

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Which one of the following shows the graph of the inverse function of :

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The graph below shows a transformation of the graph of

:

Graph with the shape of y=2^x, but transformed to pass through (-2, 0) and (0, 3)

The rule for the transformed function is:
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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:

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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: 

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The graph of a standard normal distribution with and is given below.

Graph of a symmetric bell-shaped curve, peaking on the y-axis and tapering off smoothly on both sides. Tall and wide.

The graph of a normal distribution with and , plotted on the same scale, could be:

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Out of all the first year students in a small university, a sample of was taken and each person was asked if they do homework every day. The distribution can be approximated with a normal distribution curve. Using this approximation, if the sample population proportion was , the standard deviation was:

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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:

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Which of the following graphs illustrate a binomial distribution where:

 and

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The value of for which  forms a probability density function is:

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