Lyte wishes to study speed of Reaction Time to press a button in response to the onset of a lamp. The independent variable (V) i

Answer and image included:

The average speed for his entire journey from York to Blackpool is about 61.41 km/h.

Here’s a breakdown of how we arrive at this:

The distance he travelled from York to Leeds is 45 km,

and the speed during that section was 54 km/h.

Therefore, the time taken to travel from York to Leeds is 45/54 hours (since Time = Distance/Speed).

Next, the distance from Leeds to Blackpool is 42 km,

and the time for that leg of the journey is 35 minutes, which is 35/60 hours.

This leads to the total duration for his trip as

hours.

The cumulative distance covered equals 45 + 42 = 87 km.

Thus, his average speed is calculated as:

The expected value is calculated by subtracting the expected cost from the anticipated income.

The expected cost is fixed at $5.

The anticipated income arises from the probability associated with each outcome multiplied by its respective reward.

=> For the first prize: probability * prize = (1 / 100) * $ 100 = $1

=> For the second prize: probability * prize = (5 / 100) * $20 = $1

Thus, the expected value comes out to $1 + $1 - $5

This gives us an expected value of - $3

Final answer: - $ 3