<p>One hundred students were asked how many hand phones they have in their home. The results of the survey are summarized in the table below.</p>
<div class="content-block content-block--table"><div class="table-container"><table><thead><tr style="height: 23px;"><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">No. of hand phones (\(x\))</th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">No. of students (\(f\))</th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(fx\)</th></tr></thead><tbody><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(1\)</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(15\)</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(c\)</td></tr><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(2\)</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(25\)</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(50\)</td></tr><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(3\)</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(b\)</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(d\)</td></tr><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(4\)</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(a\)</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(84\)</td></tr><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(5\)</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(12\)</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(60\)</td></tr><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(6\)</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(5\)</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(30\)</td></tr><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">Total</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(100\)</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(e\)</td></tr></tbody></table></div></div>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">Find</span></div><ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">the values of \(a\), \(b\), \(c\), \(d\) and \(e\).</span></div></li><li><div class="list-item-content"><span class="list-item-text">the mean and standard deviation of the number of hand phones in their home.</span></div></li></ol></li><li><div class="list-item-content"><span class="list-item-text">There are \(5\) red cards, \(6\) yellow cards and \(4\) blue cards in a box. Annie draws a card from the box at random. Write down the probability that she will not get a blue card.</span></div></li><li><div class="list-item-content"><span class="list-item-text">Brandon draws \(2\) cards at random, one after the other, without replacement. Find the probability that the two cards are of different colour.</span></div></li><li><div class="list-item-content"><span class="list-item-text">Annie and Brandon take turn to draw one card at a time, without replacement, until either player gets a blue card. Assuming that Annie starts first, find the probability that she will get a blue card exactly on her second try.</span></div></li></ol>

One hundred students were asked how many hand phones they have in their home. The results of the survey are summarized in the table below.

the values of \(a\), \(b\), \(c\), \(d\) and \(e\).

the mean and standard deviation of the number of hand phones in their home.

There are \(5\) red cards, \(6\) yellow cards and \(4\) blue cards in a box. Annie draws a card from the box at random. Write down the probability that she will not get a blue card.

Brandon draws \(2\) cards at random, one after the other, without replacement. Find the probability that the two cards are of different colour.

Annie and Brandon take turn to draw one card at a time, without replacement, until either player gets a blue card. Assuming that Annie starts first, find the probability that she will get a blue card exactly on her second try.

Statistics - Mean and Standard Deviation for Grouped Data

Question 5b45e9f0

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