The probability that the total weight of 4 randomly selected adult passengers is less than 242 kg is approximately 0.23.
The weights of the passengers for this ride are normally distributed with a mean of 65 kg and a standard deviation of 12 kg.
To find the probability that the total weight of 4 randomly selected adult passengers is less than 242 kg, we can use the central limit theorem. This theorem states that the sum of a large number of independent and identically distributed random variables will be approximately normally distributed, even if the original variables are not normally distributed.
In this case, the independent and identically distributed random variables are the weights of the 4 adult passengers.
Since the weights are normally distributed, the sum of the weights will also be normally distributed.
The mean of the sum of the weights will be the sum of the means of the individual weights, which is 4 * 65 kg = 260 kg.
The standard deviation of the sum of the weights will be the square root of the sum of the variances of the individual weights, which is sqrt(4 * 12^2) kg = 48 kg.
Therefore, the probability that the total weight of 4 randomly selected adult passengers is less than 242 kg is equal to the probability that a normally distributed random variable with a mean of 260 kg and a standard deviation of 48 kg is less than 242 kg.
We can use a normal distribution table or a calculator to find this probability. Using a calculator, we get a probability of approximately 0.23.