Assume you have a normal distribution representing the likelihood of project completion times. The mean of this distribution is 14, and the standard deviation is 4. The probability of completing the project in 15 or fewer days is:  a. 0.59 b. 0.27 c. 0.93 d. 0.75

Suppose that the weight of an newborn fawn is Uniformly distributed between 2.5 and 3.8 kg. Suppose that a newborn fawn is randomly selected. Round answers to 4 decimal places when possible.a. The mean of this distribution is    b. The standard deviation is    c. The probability that fawn will weigh exactly 3.7 kg is P(x = 3.7) =    d. The probability that a newborn fawn will be weigh between 3.1 and 3.4 is P(3.1 < x < 3.4) =    e. The probability that a newborn fawn will be weigh more than 3.36 is P(x > 3.36) =  f. P(x > 2.6 | x < 3.3) =  g. Find the 58th percentile.  solve e,f and g only.

Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Enter a number. Round your answer to four decimal places.) ? = 26; ? = 3.6 P(x ≥ 30) =

A reference states that average daily high temperature in June in a particular city is 86°F with a standard deviation of 7, and it can be assumed that they to follow a normal distribution. We use the following equation to convert "F (Fahrenheit) to "C(Celsius) C-(F-32)=² (a) Write the probability model for the distribution of temperature in C in June in this city. (Round your standard deviation to four decimal places) ~~-[ (b) What is the probability of observing a 31°C (which roughly corresponds to 87.) temperature or higher a a randemily selected day in June in this city? Calculate using the "C model from part (a). (Round your answer to four decimal places.) (c) The probability of observing a 67.8°F temperature or higher on a randomly selected day in June this city is approximately 0.3983, Did you get the same answer or a different answer in part (b)? Are you surprised? Explain. Both sets of calculations produced approximately the same answer which isn't surprising since once we…