[amp_mcq option1=”2.3% and 84.1%” option2=”97.7% and 84.1%” option3=”97.7 % and 15.9%” option4=”15.9% and 97.7%” correct=”option3″]<\/p>\n
The correct answer is $\\boxed{\\text{C}}$.<\/p>\n
The probability of completing a project in a given amount of time is given by the following formula:<\/p>\n
$$P(T \\leq t) = \\Phi \\left(\\frac{t – \\mu}{\\sigma} \\right)$$<\/p>\n
where $\\mu$ is the expected time of completion, $\\sigma$ is the standard deviation, and $\\Phi$ is the cumulative distribution function of the standard normal distribution.<\/p>\n
In this case, $\\mu = 60$ and $\\sigma = 5$. So, the probability of completing the project in 50 weeks is:<\/p>\n
$$P(T \\leq 50) = \\Phi \\left(\\frac{50 – 60}{5} \\right) = \\Phi(-2) \\approx 0.023$$<\/p>\n
The probability of completing the project in 65 weeks is:<\/p>\n
$$P(T \\leq 65) = \\Phi \\left(\\frac{65 – 60}{5} \\right) = \\Phi(1) \\approx 0.841$$<\/p>\n
Therefore, the probability of completing the project in 50 weeks and 65 weeks respectively is $\\boxed{\\text{C}}$, 2.3% and 84.1%.<\/p>\n
Option A is incorrect because the probability of completing the project in 50 weeks is less than 2.3%. Option B is incorrect because the probability of completing the project in 65 weeks is greater than 84.1%. Option D is incorrect because the probability of completing the project in 50 weeks is greater than the probability of completing the project in 65 weeks.<\/p>\n","protected":false},"excerpt":{"rendered":"
[amp_mcq option1=”2.3% and 84.1%” option2=”97.7% and 84.1%” option3=”97.7 % and 15.9%” option4=”15.9% and 97.7%” correct=”option3″]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[655],"tags":[],"class_list":["post-8458","post","type-post","status-publish","format-standard","hentry","category-construction-planning-and-management","no-featured-image-padding"],"yoast_head":"\n