<p>Given that \(X \sim \mathrm{B}(40, 0.64)\), find</p>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">\(\mathrm{P}(X=28)\)</span></div></li><li><div class="list-item-content"><span class="list-item-text">\(\mathrm{P}(X &gt; 21)\)</span></div></li><li><div class="list-item-content"><span class="list-item-text">\(\mathrm{P}(23.3 \le X \le 31.7)\)</span></div></li><li><div class="list-item-content"><span class="list-item-text">\(\mathrm{P}(X &gt; 28.6)\)</span></div></li><li><div class="list-item-content"><span class="list-item-text">\(\mathrm{P}(|X - 31| &lt; 4)\)</span></div></li><li><div class="list-item-content"><span class="list-item-text">\(\mathrm{P}(|X - 26| \ge 4)\)</span></div></li><li><div class="list-item-content"><span class="list-item-text">Probability that \(X\) lies within two standard deviations from the mean.</span></div></li><li><div class="list-item-content"><span class="list-item-text">Mode of \(X\).</span></div></li></ol>

Given that \(X \sim \mathrm{B}(40, 0.64)\), find

Probability that \(X\) lies within two standard deviations from the mean.

Binomial Distribution

H2 Math

International Baccalaureate Higher Level Mathematics

Binomial Distribution

Question 99637553