Daytime high temperatures in new york in february are normally distributed with an average of 30.2º and a standard deviation of 8.5º. estimate the probability that the temperature on a given day in february is 22º or lower.

The probability that the temperature on a given day in February is 22º or lower is 16.7 %

Step-by-step explanation:

Given:

Average Temperature,

Standard Deviation of Temperature, [tex\sigma=8.5^{\circ}[/tex]

We have to find: Probability that the temperature is 22° or lower

.i.e., P[ X ≤ 22 ]

Let X be the Temperature on a given day in February.

We use Z-score to calculate required probability.

First we convert X into Z using this relationship,

Now, Probability [ Z ≤ -0.965 ] = 0.167272 = 16.7 %

Therefore, The probability that the temperature on a given day in February is 22º or lower is 16.7 %

solution:

as, mean is defined as sum of all the observations divided by total number of observations.

and , median is mid value of the data whether arranged in ascending order or descending order.

consider, roadsters:

2,3,4,5,6,7,8,9

mean =

also, median= , because number of observations is even, so median is mean of two mid values.

now, coming to bandits

2,3,4,5,6

mean =  

median = 4, as number of observations is odd.

so, roadsters has greater median as well mean than bandits.

→option a is true about the repairs performed on 2 types of cars:

bandits have lower median and mean than roadsters.

4/6 = 2/3

so it should take 3/3 hours per man. so 9 hours is the answer 3*3 =9

step-by-step explanation: